My favorite wolframalpha query.

[JeanneDArcAlter]

cos[x-y]^cos[x+y] - Wolfram|Alpha

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[JeanneDArcAlter]

cos^cos - x sin cos^cos (log(cos) - 1) - 1/2 x^2 (cos^cos (-sin^2 + cos + 3 sin tan + cos log(cos) + sin^2 (-log^2(cos)) + 2 sin^2 log(cos))) - 1/6 x^3 (sin cos^cos (-sin^2 + 3 cos - 5 tan^2 + 9 sin tan - 3 cos log^2(cos) - log(cos) + sin^2 log^3(cos) - 3 sin^2 log^2(cos) + 3 sin^2 log(cos) - 9 sin tan log(cos) - 2)) + 1/24 x^4 cos^cos (sin^4 + 26 sin^2 + 3 cos^2 + 4 cos - 18 sin^3 tan + 47 sin^2 tan^2 - 14 sin tan^3 - 6 sin tan + 3 cos^2 log^2(cos) + 6 cos^2 log(cos) + cos log(cos) - 6 sin^2 cos + sin^4 log^4(cos) - 4 sin^4 log^3(cos) - 6 sin^2 cos log^3(cos) + 6 sin^4 log^2(cos) + 6 sin^2 cos log^2(cos) - 4 sin^2 log^2(cos) - 4 sin^4 log(cos) + 6 sin^2 cos log(cos) + 14 sin^2 log(cos) - 18 sin^3 tan log^2(cos) + 36 sin^3 tan log(cos) - 20 sin^2 tan^2 log(cos)) + O(x^5)

 

[JeanneDArcAlter]

cos^cos(x + y)(x - y) = ( sum_(k=0)^∞ (cos((k π)/2 + z_0) (x - y - z_0)^k)/(k!))^( sum_(k=0)^∞ (cos((k π)/2 + z_0) (x + y - z_0)^k)/k!)

 

[Deleted member 117288]

Imagination is inherently demonic,
using these symbols to represent actual data values which have significance in reality, is quite imaginative.

 

[JeanneDArcAlter]

Imagination is inherently demonic,
using these symbols to represent actual data values which have significance in reality, is quite imaginative.

cos^cos(x + y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and x + y>0)

 

[Deleted member 117288]

cos^cos(x + y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and x + y>0)

Cos to the power of cos?

 

[JeanneDArcAlter]

cos^cos(x + y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and x + y>0)

cos^cos(x + y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x + y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and x + y>0)

 

[JeanneDArcAlter]

Cos to the power of cos?

Yes

 

[Deleted member 91545]

What is this

 

[Deleted member 107430]

upper bound of the time complexity? orr space complexity of an algorithm ?

 

[JeanneDArcAlter]

What is this

cos^cos(x + y)(x - y) = π^(1/2 sqrt(π) sum_(j=0)^∞ Res_(s=-j) (4^s ((x + y)^2)^(-s) Γ(s))/Γ(1/2 - s)) ( sum_(j=0)^∞ Res_(s=-j) (4^s ((x - y)^2)^(-s) Γ(s))/Γ(1/2 - s))^(sqrt(π) sum_(j=0)^∞ Res_(s=-j) (4^s ((x + y)^2)^(-s) Γ(s))/Γ(1/2 - s))

 

[Deleted member 117288]

cos^cos(x + y)(x - y) = π^(1/2 sqrt(π) sum_(j=0)^∞ Res_(s=-j) (4^s ((x + y)^2)^(-s) Γ(s))/Γ(1/2 - s)) ( sum_(j=0)^∞ Res_(s=-j) (4^s ((x - y)^2)^(-s) Γ(s))/Γ(1/2 - s))^(sqrt(π) sum_(j=0)^∞ Res_(s=-j) (4^s ((x + y)^2)^(-s) Γ(s))/Γ(1/2 - s))

Bro.. you're 16 at most..

 

[JeanneDArcAlter]

Bro.. you're 16 at most..

cos^cos(x + y)(x - y) = (J_0(x - y) + 2 sum_(k=1)^∞ (-1)^k J_(2 k)(x - y))^(J_0(x + y) + 2 sum_(k=1)^∞ (-1)^k J_(2 k)(x + y))

 

[Deleted member 117288]

cos^cos(x + y)(x - y) = (J_0(x - y) + 2 sum_(k=1)^∞ (-1)^k J_(2 k)(x - y))^(J_0(x + y) + 2 sum_(k=1)^∞ (-1)^k J_(2 k)(x + y))

Stop it with the irrational powers nigga..

 

[JeanneDArcAlter]

Stop it with the irrational powers nigga..

Cos[y]^Cos[y] - x Cos[y]^Cos[y] (-1 + Log[Cos[y]]) Sin[y] - (x^2 Cos[y]^Cos[y] (Cos[y] + Cos[y] Log[Cos[y]] - Sin[y]^2 + 2 Log[Cos[y]] Sin[y]^2 - Log[Cos[y]]^2 Sin[y]^2 + 3 Sin[y] Tan[y]))/2 - (x^3 Cos[y]^Cos[y] Sin[y] (-2 + 3 Cos[y] - Log[Cos[y]] - 3 Cos[y] Log[Cos[y]]^2 - Sin[y]^2 + 3 Log[Cos[y]] Sin[y]^2 - 3 Log[Cos[y]]^2 Sin[y]^2 + Log[Cos[y]]^3 Sin[y]^2 + 9 Sin[y] Tan[y] - 9 Log[Cos[y]] Sin[y] Tan[y] - 5 Tan[y]^2))/6 + (x^4 Cos[y]^Cos[y] (4 Cos[y] + 3 Cos[y]^2 + Cos[y] Log[Cos[y]] + 6 Cos[y]^2 Log[Cos[y]] + 3 Cos[y]^2 Log[Cos[y]]^2 + 26 Sin[y]^2 - 6 Cos[y] Sin[y]^2 + 14 Log[Cos[y]] Sin[y]^2 + 6 Cos[y] Log[Cos[y]] Sin[y]^2 - 4 Log[Cos[y]]^2 Sin[y]^2 + 6 Cos[y] Log[Cos[y]]^2 Sin[y]^2 - 6 Cos[y] Log[Cos[y]]^3 Sin[y]^2 + Sin[y]^4 - 4 Log[Cos[y]] Sin[y]^4 + 6 Log[Cos[y]]^2 Sin[y]^4 - 4 Log[Cos[y]]^3 Sin[y]^4 + Log[Cos[y]]^4 Sin[y]^4 - 6 Sin[y] Tan[y] - 18 Sin[y]^3 Tan[y] + 36 Log[Cos[y]] Sin[y]^3 Tan[y] - 18 Log[Cos[y]]^2 Sin[y]^3 Tan[y] + 47 Sin[y]^2 Tan[y]^2 - 20 Log[Cos[y]] Sin[y]^2 Tan[y]^2 - 14 Sin[y] Tan[y]^3))/24 + O[x]^5

 

[Deleted member 117288]

Cos[y]^Cos[y] - x Cos[y]^Cos[y] (-1 + Log[Cos[y]]) Sin[y] - (x^2 Cos[y]^Cos[y] (Cos[y] + Cos[y] Log[Cos[y]] - Sin[y]^2 + 2 Log[Cos[y]] Sin[y]^2 - Log[Cos[y]]^2 Sin[y]^2 + 3 Sin[y] Tan[y]))/2 - (x^3 Cos[y]^Cos[y] Sin[y] (-2 + 3 Cos[y] - Log[Cos[y]] - 3 Cos[y] Log[Cos[y]]^2 - Sin[y]^2 + 3 Log[Cos[y]] Sin[y]^2 - 3 Log[Cos[y]]^2 Sin[y]^2 + Log[Cos[y]]^3 Sin[y]^2 + 9 Sin[y] Tan[y] - 9 Log[Cos[y]] Sin[y] Tan[y] - 5 Tan[y]^2))/6 + (x^4 Cos[y]^Cos[y] (4 Cos[y] + 3 Cos[y]^2 + Cos[y] Log[Cos[y]] + 6 Cos[y]^2 Log[Cos[y]] + 3 Cos[y]^2 Log[Cos[y]]^2 + 26 Sin[y]^2 - 6 Cos[y] Sin[y]^2 + 14 Log[Cos[y]] Sin[y]^2 + 6 Cos[y] Log[Cos[y]] Sin[y]^2 - 4 Log[Cos[y]]^2 Sin[y]^2 + 6 Cos[y] Log[Cos[y]]^2 Sin[y]^2 - 6 Cos[y] Log[Cos[y]]^3 Sin[y]^2 + Sin[y]^4 - 4 Log[Cos[y]] Sin[y]^4 + 6 Log[Cos[y]]^2 Sin[y]^4 - 4 Log[Cos[y]]^3 Sin[y]^4 + Log[Cos[y]]^4 Sin[y]^4 - 6 Sin[y] Tan[y] - 18 Sin[y]^3 Tan[y] + 36 Log[Cos[y]] Sin[y]^3 Tan[y] - 18 Log[Cos[y]]^2 Sin[y]^3 Tan[y] + 47 Sin[y]^2 Tan[y]^2 - 20 Log[Cos[y]] Sin[y]^2 Tan[y]^2 - 14 Sin[y] Tan[y]^3))/24 + O[x]^5

I'm sick from just seeing this clusterfuck

 

[JeanneDArcAlter]

I'm sick from just seeing this clusterfuck

Log[-y]^Cos[y] - (x Log[-y]^(-1 + Cos[y]) (Cos[y] + y Log[-y] Log[Log[-y]] Sin[y]))/y + (x^2 Log[-y]^Cos[y] (2 ((Cos[y] (-(1/(y^2 Log[-y]^2)) - 1/(y^2 Log[-y])))/2 - (Cos[y] Log[Log[-y]])/2 + Sin[y]/(y Log[-y])) + (-(Cos[y]/(y Log[-y])) - Log[Log[-y]] Sin[y])^2))/2 + (x^3 Log[-y]^(-3 + Cos[y]) (-2 Cos[y] + 3 Cos[y]^2 - Cos[y]^3 - 3 Cos[y] Log[-y] + 3 Cos[y]^2 Log[-y] - 2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] + 3 y Log[-y] Sin[y] - 6 y Cos[y] Log[-y] Sin[y] + 3 y Log[-y]^2 Sin[y] + 3 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 3 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 3 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] + y^3 Log[-y]^3 Log[Log[-y]] Sin[y] + 3 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y] - 6 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 3 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - y^3 Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3))/(6 y^3) + (x^4 Log[-y]^(-4 + Cos[y]) (-6 Cos[y] + 11 Cos[y]^2 - 6 Cos[y]^3 + Cos[y]^4 - 12 Cos[y] Log[-y] + 18 Cos[y]^2 Log[-y] - 6 Cos[y]^3 Log[-y] - 11 Cos[y] Log[-y]^2 + 6 y^2 Cos[y] Log[-y]^2 + 11 Cos[y]^2 Log[-y]^2 - 12 y^2 Cos[y]^2 Log[-y]^2 - 6 Cos[y] Log[-y]^3 + 6 y^2 Cos[y] Log[-y]^3 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] - 6 y^2 Cos[y]^3 Log[-y]^2 Log[Log[-y]] + 6 y^2 Cos[y]^2 Log[-y]^3 Log[Log[-y]] + y^4 Cos[y] Log[-y]^4 Log[Log[-y]] + 3 y^4 Cos[y]^2 Log[-y]^4 Log[Log[-y]]^2 + 8 y Log[-y] Sin[y] - 24 y Cos[y] Log[-y] Sin[y] + 12 y Cos[y]^2 Log[-y] Sin[y] + 12 y Log[-y]^2 Sin[y] - 24 y Cos[y] Log[-y]^2 Sin[y] + 8 y Log[-y]^3 Sin[y] - 4 y^3 Log[-y]^3 Sin[y] + 8 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 4 y Cos[y]^3 Log[-y] Log[Log[-y]] Sin[y] + 12 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y]^2 Log[Log[-y]] Sin[y] + 8 y Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 28 y^3 Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 12 y^3 Cos[y]^2 Log[-y]^3 Log[Log[-y]]^2 Sin[y] + 12 y^2 Log[-y]^2 Sin[y]^2 - 12 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 + 24 y^2 Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 12 y^2 Log[-y]^3 Log[Log[-y]] Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y]^2 - 4 y^4 Log[-y]^4 Log[Log[-y]]^2 Sin[y]^2 - 6 y^4 Cos[y] Log[-y]^4 Log[Log[-y]]^3 Sin[y]^2 + 12 y^3 Log[-y]^3 Log[Log[-y]]^2 Sin[y]^3 + 4 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3 + y^4 Log[-y]^4 Log[Log[-y]]^4 Sin[y]^4))/(24 y^4) + O[x]^5

 

[Deleted member 117288]

Log[-y]^Cos[y] - (x Log[-y]^(-1 + Cos[y]) (Cos[y] + y Log[-y] Log[Log[-y]] Sin[y]))/y + (x^2 Log[-y]^Cos[y] (2 ((Cos[y] (-(1/(y^2 Log[-y]^2)) - 1/(y^2 Log[-y])))/2 - (Cos[y] Log[Log[-y]])/2 + Sin[y]/(y Log[-y])) + (-(Cos[y]/(y Log[-y])) - Log[Log[-y]] Sin[y])^2))/2 + (x^3 Log[-y]^(-3 + Cos[y]) (-2 Cos[y] + 3 Cos[y]^2 - Cos[y]^3 - 3 Cos[y] Log[-y] + 3 Cos[y]^2 Log[-y] - 2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] + 3 y Log[-y] Sin[y] - 6 y Cos[y] Log[-y] Sin[y] + 3 y Log[-y]^2 Sin[y] + 3 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 3 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 3 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] + y^3 Log[-y]^3 Log[Log[-y]] Sin[y] + 3 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y] - 6 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 3 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - y^3 Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3))/(6 y^3) + (x^4 Log[-y]^(-4 + Cos[y]) (-6 Cos[y] + 11 Cos[y]^2 - 6 Cos[y]^3 + Cos[y]^4 - 12 Cos[y] Log[-y] + 18 Cos[y]^2 Log[-y] - 6 Cos[y]^3 Log[-y] - 11 Cos[y] Log[-y]^2 + 6 y^2 Cos[y] Log[-y]^2 + 11 Cos[y]^2 Log[-y]^2 - 12 y^2 Cos[y]^2 Log[-y]^2 - 6 Cos[y] Log[-y]^3 + 6 y^2 Cos[y] Log[-y]^3 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] - 6 y^2 Cos[y]^3 Log[-y]^2 Log[Log[-y]] + 6 y^2 Cos[y]^2 Log[-y]^3 Log[Log[-y]] + y^4 Cos[y] Log[-y]^4 Log[Log[-y]] + 3 y^4 Cos[y]^2 Log[-y]^4 Log[Log[-y]]^2 + 8 y Log[-y] Sin[y] - 24 y Cos[y] Log[-y] Sin[y] + 12 y Cos[y]^2 Log[-y] Sin[y] + 12 y Log[-y]^2 Sin[y] - 24 y Cos[y] Log[-y]^2 Sin[y] + 8 y Log[-y]^3 Sin[y] - 4 y^3 Log[-y]^3 Sin[y] + 8 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 4 y Cos[y]^3 Log[-y] Log[Log[-y]] Sin[y] + 12 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y]^2 Log[Log[-y]] Sin[y] + 8 y Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 28 y^3 Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 12 y^3 Cos[y]^2 Log[-y]^3 Log[Log[-y]]^2 Sin[y] + 12 y^2 Log[-y]^2 Sin[y]^2 - 12 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 + 24 y^2 Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 12 y^2 Log[-y]^3 Log[Log[-y]] Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y]^2 - 4 y^4 Log[-y]^4 Log[Log[-y]]^2 Sin[y]^2 - 6 y^4 Cos[y] Log[-y]^4 Log[Log[-y]]^3 Sin[y]^2 + 12 y^3 Log[-y]^3 Log[Log[-y]]^2 Sin[y]^3 + 4 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3 + y^4 Log[-y]^4 Log[Log[-y]]^4 Sin[y]^4))/(24 y^4) + O[x]^5

Jfl, make it even more clusterfucked and natural

 

[JeanneDArcAlter]

Log[-y]^Cos[y] - (x Log[-y]^(-1 + Cos[y]) (Cos[y] + y Log[-y] Log[Log[-y]] Sin[y]))/y + (x^2 Log[-y]^Cos[y] (2 ((Cos[y] (-(1/(y^2 Log[-y]^2)) - 1/(y^2 Log[-y])))/2 - (Cos[y] Log[Log[-y]])/2 + Sin[y]/(y Log[-y])) + (-(Cos[y]/(y Log[-y])) - Log[Log[-y]] Sin[y])^2))/2 + (x^3 Log[-y]^(-3 + Cos[y]) (-2 Cos[y] + 3 Cos[y]^2 - Cos[y]^3 - 3 Cos[y] Log[-y] + 3 Cos[y]^2 Log[-y] - 2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y] Log[-y]^2 + 3 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] + 3 y Log[-y] Sin[y] - 6 y Cos[y] Log[-y] Sin[y] + 3 y Log[-y]^2 Sin[y] + 3 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 3 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 3 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] + y^3 Log[-y]^3 Log[Log[-y]] Sin[y] + 3 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y] - 6 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 3 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - y^3 Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3))/(6 y^3) + (x^4 Log[-y]^(-4 + Cos[y]) (-6 Cos[y] + 11 Cos[y]^2 - 6 Cos[y]^3 + Cos[y]^4 - 12 Cos[y] Log[-y] + 18 Cos[y]^2 Log[-y] - 6 Cos[y]^3 Log[-y] - 11 Cos[y] Log[-y]^2 + 6 y^2 Cos[y] Log[-y]^2 + 11 Cos[y]^2 Log[-y]^2 - 12 y^2 Cos[y]^2 Log[-y]^2 - 6 Cos[y] Log[-y]^3 + 6 y^2 Cos[y] Log[-y]^3 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]] - 6 y^2 Cos[y]^3 Log[-y]^2 Log[Log[-y]] + 6 y^2 Cos[y]^2 Log[-y]^3 Log[Log[-y]] + y^4 Cos[y] Log[-y]^4 Log[Log[-y]] + 3 y^4 Cos[y]^2 Log[-y]^4 Log[Log[-y]]^2 + 8 y Log[-y] Sin[y] - 24 y Cos[y] Log[-y] Sin[y] + 12 y Cos[y]^2 Log[-y] Sin[y] + 12 y Log[-y]^2 Sin[y] - 24 y Cos[y] Log[-y]^2 Sin[y] + 8 y Log[-y]^3 Sin[y] - 4 y^3 Log[-y]^3 Sin[y] + 8 y Cos[y] Log[-y] Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y] Log[Log[-y]] Sin[y] + 4 y Cos[y]^3 Log[-y] Log[Log[-y]] Sin[y] + 12 y Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y] - 12 y Cos[y]^2 Log[-y]^2 Log[Log[-y]] Sin[y] + 8 y Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 28 y^3 Cos[y] Log[-y]^3 Log[Log[-y]] Sin[y] - 12 y^3 Cos[y]^2 Log[-y]^3 Log[Log[-y]]^2 Sin[y] + 12 y^2 Log[-y]^2 Sin[y]^2 - 12 y^2 Log[-y]^2 Log[Log[-y]] Sin[y]^2 + 24 y^2 Cos[y] Log[-y]^2 Log[Log[-y]] Sin[y]^2 - 12 y^2 Log[-y]^3 Log[Log[-y]] Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 + 6 y^2 Cos[y]^2 Log[-y]^2 Log[Log[-y]]^2 Sin[y]^2 - 6 y^2 Cos[y] Log[-y]^3 Log[Log[-y]]^2 Sin[y]^2 - 4 y^4 Log[-y]^4 Log[Log[-y]]^2 Sin[y]^2 - 6 y^4 Cos[y] Log[-y]^4 Log[Log[-y]]^3 Sin[y]^2 + 12 y^3 Log[-y]^3 Log[Log[-y]]^2 Sin[y]^3 + 4 y^3 Cos[y] Log[-y]^3 Log[Log[-y]]^3 Sin[y]^3 + y^4 Log[-y]^4 Log[Log[-y]]^4 Sin[y]^4))/(24 y^4) + O[x]^5

if you cant imagine the 3d graph representation of this taylor series within 1 second your a midwit tbh

 

[Deleted member 117288]

if you cant imagine the 3d graph representation of this taylor series within 1 second your a midwit tbh

Not my fault you made it fluckercusted negro.

 

[JeanneDArcAlter]

Not my fault you made it fluckercusted negro.

sin^(-sin) + x sin^(-sin) cos (log(sin) - 1) + 1/2 x^2 sin^(-sin) (sin + cos^2 + sin log(sin) + 3 cos cot + cos^2 log^2(sin) - 2 cos^2 log(sin)) + 1/6 x^3 sin^(-sin) cos (-3 sin - cos^2 - 5 cot^2 + 3 sin log^2(sin) - log(sin) - 9 cos cot + cos^2 log^3(sin) - 3 cos^2 log^2(sin) + 3 cos^2 log(sin) + 9 cos cot log(sin) - 2) + 1/24 x^4 sin^(-sin) (3 sin^2 - 4 sin + cos^4 + 26 cos^2 + 3 sin^2 log^2(sin) + 6 sin^2 log(sin) - sin log(sin) + 18 cos^3 cot + 6 sin cos^2 + 47 cos^2 cot^2 + 14 cos cot^3 + 6 cos cot + cos^4 log^4(sin) - 4 cos^4 log^3(sin) + 6 cos^4 log^2(sin) - 4 cos^4 log(sin) + 6 sin cos^2 log^3(sin) - 4 cos^2 log^2(sin) - 6 sin cos^2 log^2(sin) + 14 cos^2 log(sin) - 6 sin cos^2 log(sin) + 18 cos^3 cot log^2(sin) - 36 cos^3 cot log(sin) - 20 cos^2 cot^2 log(sin)) + O(x^5)
Using as a variable

 

[Deleted member 117288]

sin^(-sin) + x sin^(-sin) cos (log(sin) - 1) + 1/2 x^2 sin^(-sin) (sin + cos^2 + sin log(sin) + 3 cos cot + cos^2 log^2(sin) - 2 cos^2 log(sin)) + 1/6 x^3 sin^(-sin) cos (-3 sin - cos^2 - 5 cot^2 + 3 sin log^2(sin) - log(sin) - 9 cos cot + cos^2 log^3(sin) - 3 cos^2 log^2(sin) + 3 cos^2 log(sin) + 9 cos cot log(sin) - 2) + 1/24 x^4 sin^(-sin) (3 sin^2 - 4 sin + cos^4 + 26 cos^2 + 3 sin^2 log^2(sin) + 6 sin^2 log(sin) - sin log(sin) + 18 cos^3 cot + 6 sin cos^2 + 47 cos^2 cot^2 + 14 cos cot^3 + 6 cos cot + cos^4 log^4(sin) - 4 cos^4 log^3(sin) + 6 cos^4 log^2(sin) - 4 cos^4 log(sin) + 6 sin cos^2 log^3(sin) - 4 cos^2 log^2(sin) - 6 sin cos^2 log^2(sin) + 14 cos^2 log(sin) - 6 sin cos^2 log(sin) + 18 cos^3 cot log^2(sin) - 36 cos^3 cot log(sin) - 20 cos^2 cot^2 log(sin)) + O(x^5)
Using as a variable

Aryan meth

 

[Deleted member 117288]

Most Flustercucked thread ever?

 

[JeanneDArcAlter]

Aryan meth

tan^cos(x^y)(x^y) = (i (1 + 2 sum_(k=1)^∞ (-1)^k q^(2 k)))^( sum_(k=0)^∞ ((-1)^k (x^y)^(2 k))/(2 k)!) for q = e^(i x^y)

 

[Deleted member 117288]

tan^cos(x^y)(x^y) = (i (1 + 2 sum_(k=1)^∞ (-1)^k q^(2 k)))^( sum_(k=0)^∞ ((-1)^k (x^y)^(2 k))/(2 k)!) for q = e^(i x^y)
View attachment 3441927

Bump

 

[JeanneDArcAlter]

Bump

 

[JeanneDArcAlter]

Sin[y]^Gamma[1 - Sin[y]] + x Gamma[1 - Sin[y]] (Cot[y] + Cos[y] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]) Sin[y]^Gamma[1 - Sin[y]] + (x^2 Gamma[1 - Sin[y]] Sin[y]^Gamma[1 - Sin[y]] (-1 - Cot[y]^2 + Cot[y]^2 Gamma[1 - Sin[y]] + 2 Cos[y] Cot[y] PolyGamma[0, 1 - Sin[y]] + 2 Cos[y] Cot[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + Cos[y]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y]))/2 + (x^3 Sin[y]^Gamma[1 - Sin[y]] (2 Cot[y] Gamma[1 - Sin[y]] + 2 Cot[y]^3 Gamma[1 - Sin[y]] - 3 Cot[y] Gamma[1 - Sin[y]]^2 - 3 Cot[y]^3 Gamma[1 - Sin[y]]^2 + Cot[y]^3 Gamma[1 - Sin[y]]^3 - 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] + 6 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] - Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 9 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 3 Cos[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 + Cos[y]^3 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] + 3 Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 Sin[y] + 3 Cos[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 Sin[y] + 3 Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y]))/6 + (x^4 Sin[y]^Gamma[1 - Sin[y]] (-2 Gamma[1 - Sin[y]] - 8 Cot[y]^2 Gamma[1 - Sin[y]] - 6 Cot[y]^4 Gamma[1 - Sin[y]] + 3 Gamma[1 - Sin[y]]^2 + 14 Cot[y]^2 Gamma[1 - Sin[y]]^2 + 11 Cot[y]^4 Gamma[1 - Sin[y]]^2 - 6 Cot[y]^2 Gamma[1 - Sin[y]]^3 - 6 Cot[y]^4 Gamma[1 - Sin[y]]^3 + Cot[y]^4 Gamma[1 - Sin[y]]^4 - 2 Cos[y] Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] + 8 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] - 12 Cos[y] Cot[y] Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] - 24 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] + 12 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^3 PolyGamma[0, 1 - Sin[y]] - 2 Cos[y] Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 8 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 6 Cos[y] Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 12 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 4 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^4 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 6 Cos[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 24 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 - 4 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 18 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 30 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 4 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 6 Cos[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^4 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 28 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 24 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^4 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 + Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^4 + 7 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^4 + 6 Cos[y]^4 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^4 + Cos[y]^4 Gamma[1 - Sin[y]]^4 Log[Sin[y]]^4 PolyGamma[0, 1 - Sin[y]]^4 + 6 Cos[y]^2 Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] - 4 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 36 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 18 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^4 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]]^2 + 3 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[1, 1 - Sin[y]]^2 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[3, 1 - Sin[y]] - 6 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] - Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] - 6 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] Sin[y] + 3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 Sin[y]^2 + 3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 Sin[y]^2 + 3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y]^2))/24 + O[x]^5

 

[JeanneDArcAlter]

Sin[y]^Gamma[1 - Sin[y]] + x Gamma[1 - Sin[y]] (Cot[y] + Cos[y] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]) Sin[y]^Gamma[1 - Sin[y]] + (x^2 Gamma[1 - Sin[y]] Sin[y]^Gamma[1 - Sin[y]] (-1 - Cot[y]^2 + Cot[y]^2 Gamma[1 - Sin[y]] + 2 Cos[y] Cot[y] PolyGamma[0, 1 - Sin[y]] + 2 Cos[y] Cot[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + Cos[y]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y]))/2 + (x^3 Sin[y]^Gamma[1 - Sin[y]] (2 Cot[y] Gamma[1 - Sin[y]] + 2 Cot[y]^3 Gamma[1 - Sin[y]] - 3 Cot[y] Gamma[1 - Sin[y]]^2 - 3 Cot[y]^3 Gamma[1 - Sin[y]]^2 + Cot[y]^3 Gamma[1 - Sin[y]]^3 - 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] + 6 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] - Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 3 Cos[y] Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 9 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 3 Cos[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 + Cos[y]^3 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^2 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + Cos[y]^3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] + 3 Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 Sin[y] + 3 Cos[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 Sin[y] + 3 Cos[y] Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y]))/6 + (x^4 Sin[y]^Gamma[1 - Sin[y]] (-2 Gamma[1 - Sin[y]] - 8 Cot[y]^2 Gamma[1 - Sin[y]] - 6 Cot[y]^4 Gamma[1 - Sin[y]] + 3 Gamma[1 - Sin[y]]^2 + 14 Cot[y]^2 Gamma[1 - Sin[y]]^2 + 11 Cot[y]^4 Gamma[1 - Sin[y]]^2 - 6 Cot[y]^2 Gamma[1 - Sin[y]]^3 - 6 Cot[y]^4 Gamma[1 - Sin[y]]^3 + Cot[y]^4 Gamma[1 - Sin[y]]^4 - 2 Cos[y] Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] + 8 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] - 12 Cos[y] Cot[y] Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] - 24 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] + 12 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^3 PolyGamma[0, 1 - Sin[y]] - 2 Cos[y] Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 8 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 6 Cos[y] Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] - 12 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 4 Cos[y] Cot[y]^3 Gamma[1 - Sin[y]]^4 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] + 6 Cos[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 24 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 - 4 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 18 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 + 30 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 - 4 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 6 Cos[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^4 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 28 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 + 24 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^4 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 + Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^4 + 7 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^4 + 6 Cos[y]^4 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^4 + Cos[y]^4 Gamma[1 - Sin[y]]^4 Log[Sin[y]]^4 PolyGamma[0, 1 - Sin[y]]^4 + 6 Cos[y]^2 Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] - 4 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] - 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^2 Cot[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 36 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 12 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^3 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 18 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 6 Cos[y]^4 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^2 PolyGamma[1, 1 - Sin[y]] + 3 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]]^2 + 3 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[1, 1 - Sin[y]]^2 + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^3 Cot[y] Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + 4 Cos[y]^4 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[2, 1 - Sin[y]] + Cos[y]^4 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[3, 1 - Sin[y]] - 6 Gamma[1 - Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] - Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] - 6 Gamma[1 - Sin[y]]^2 Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]]^3 Log[Sin[y]]^3 PolyGamma[0, 1 - Sin[y]]^3 Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y] + 18 Cos[y]^2 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y] + 6 Cos[y]^2 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[2, 1 - Sin[y]] Sin[y] + 3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[0, 1 - Sin[y]]^2 Sin[y]^2 + 3 Gamma[1 - Sin[y]]^2 Log[Sin[y]]^2 PolyGamma[0, 1 - Sin[y]]^2 Sin[y]^2 + 3 Gamma[1 - Sin[y]] Log[Sin[y]] PolyGamma[1, 1 - Sin[y]] Sin[y]^2))/24 + O[x]^5

@2025cel

 

[Deleted member 117288]

@2025cel

Nice, not one single sigma sign in sight!