Q. 1 I4.8( 5 Votes )

Evaluate each of the following:

sin–1 (sin12)

Answer :

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[2nπ – x] = sin[–x]


sin(2nπ – 12) = sin(–12)


Here n = 2


Also 2π–12 belongs in


sin–1(sin12) = 2π – 12


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