Question

I understand the derivation of the inverse of sine to some extent, but the last part escapes me- how does the sin^2(x) + cos^2(x) translate into solving the problem cos(sin^-1(x))?

Answer 1

Is it the
derivative of
cos(sin^-1(x))

Answer 2

Yes. Sorry about that ambiguity

Answer 3

is the answer
-x/(1-x^2)^.5