Evaluate each of the following:

The value of sin is

∴ The question becomes sin^{–1}

Let sin^{–1} ^{=} y

⇒ –sin y =

= –sin

As, –sin(θ) is sin(–θ).

⇒ –sin = sin

The range of principal value of sin^{–1} is and sin

Therefore, the value of sin^{–1}(sin) is.

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