Question

what is arcsin compared to sin (and arc cos and arc tan)

Answer 1

They're the inverse functions :D
*Angle whose sine is --> arcsin

Answer 2

so arcsin is 1/sin ?

Answer 3

how would you represent it? @sunnnystrong

Answer 4

Hmm.. no. by definition- An inverse function is a function that undoes the action of another function.

Answer 5

if i had cos^-1(x) how would you derive it?

Answer 6

Also -->
\[\frac{ 1 }{ \sin(x) }= \csc(x)\]

Answer 7

@sbentleyaz D: It's a reallly long *proof*
so i will not type it here however here is a link:
https://www.wyzant.com/resources/lessons/math/calculus/derivative_proofs/inverse_trig