Write each of the following in the simplest form:

Question

Philoid · Accepted Answer

Put x = sin2θ

And we know sin²θ +cos²θ = 1

By putting these in above equation, we get

= sin^–1

= sin^–1(sin θ)

= θ

But θ = sin^–1x

∴ The given equation simplification to sin^–1x.