Write each of the following in the simplest form:

Put x = sin2θ

And we know sin^{2}θ +cos^{2}θ = 1

By putting these in above equation, we get

= sin^{–1}

= sin^{–1}

= sin^{–1}

= sin^{–1}

= sin^{–1}(sin θ)

= θ

But θ = sin^{–1}x

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

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