Write each of the following in the simplest form:

Assume x = a sinθ

= tan^{–1}

= tan^{–1}

= tan^{–1}

= tan^{–1}

= tan^{–1}

Cos θ = cos^{2} – sin^{2} and sinθ = ,cos^{2} + sin^{2} = 1

= tan^{–1}

= tan^{–1}

= tan^{–1}

= tan^{–1}(tan)

=

But θ = sin^{–1}

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

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