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Question

Prove, sin1817+sin135=tan17736

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Solution

LHS=sin1(817)+sin1(35)=sin1[8171(35)2+351(817)2][ sin1x+sin1y=sin1(x1y2+y1x2)]=sin1(817×45+35×1517)=sin1(7785)=tan177851(7785)2 ( sin1x=tan1x1x2)=tan1[7785×8536]=tan17736=RHS.


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