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Question

If A= 60 and B= 30, find the value of (sinAcosB+cosAsinB)2+(cosAcosBsinAsinB)2.

Solution
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(sinAcosB+cosAsinB)2+(cosAcosBsinAsinB)2
When, A=60 and B=30
=(sin600cos300+cos600sin300)2+(cos600cos300sin600sin300)2

=(32×32+12×12)2+(12×3232×12)2

=(34+14)2
=12=1

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