Evaluate each of the following:

sin^{–1}(sin3)

sin^{–1}(sin x) = x

Provided x ϵ ≈ [–1.57,1.57]

And in our equation x is 3 which does not lie in the above range.

We know sin[π – x] = sin[x]

∴ sin(π – 3) = sin(3)

Also π–3 belongs in

∴ sin^{–1}(sin3) = π–3

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