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Question

If sin1(2a1+a2)+sin1(2b1+b2)=2tan1x, then x is equal to

A
ab1+ab
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B
b1+ab
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C
b1ab
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D
a+b1ab
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Solution

The correct option is D a+b1ab
Putting a=tanα,b=tanβ, the given expression
sin1sin2α+sin1sin2β=2tan1x2α+2β=2tan1xtan1a+tan1b=tan1xtan1a+b1ab=tan1xx=a+b1ab

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