Evaluate each of the following:

sin^{–1}(sin4)

sin^{–1}(sin x) = x

Provided x ϵ ≈ [–1.57,1.57]

And in our equation x is 4 which does not lie in the above range.

We know sin[π – x] = sin[–x]

∴ sin(π – 4) = sin(–4)

Also π–4 belongs in

∴ sin^{–1}(sin 4) = π – 4

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