How do I make an arcsin function?

Question

I've made sin and cos functions fork my code, bit I need an arcsin (sin raised to negative one) on my code. So far I've done this:
Def arcsin(x):
____x = sin(z)
____return(z)
But that doesn't work because it doesn't recognize z. Any help is appreciated.

Answer 1

you can't have

x = sin(z)
return z

you need a representation of the function itself, not by its inverse.

https://en.wikipedia.org/wiki/Inverse_trigonometric_functions#Infinite_series
here you can find a way to express arcsin by an "infinite" series.

Also, arcsin isn't sine to negative one, it's just a notation.

Answer 2

a = 5.13
b = 5.13
c = 0
capa = 0
capb = 0
capc = 60
radian = 180 / 3.14159265
def sin(x):
x = x / radian
return(x - ((x ** 3) / 6) + ((x ** 5) / 120) - ((x ** 7) / 120 / 42) + ((x ** 9) / 9 / 56 / 30 / 24))
def cos(x):
x = x / radian
return(1 - ((x ** 2) / 2) + ((x ** 4) / 24) - ((x ** 6) / 720) + ((x ** 8) / 56 / 720) - ((x ** 10) / 90 / 56 / 720))
def arcsin(x):
x = sin(z)
return(z)
This is the first part of my code (it's for triangles)