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Question

If sin−1(2a1+a2)−cos−1(1−b21+b2)=tan−1(2x1−x2) then x=

A
ab1ab
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B
ab1+ab
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C
ab1a+b
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D
none of these
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Solution

The correct option is B ab1+ab
sin1(2a1+a2)cos1(1b21+b2)=tan1(2x1x2)
or, 2tan1a2tan1b=2tan1x
or, tan1atan1b=tan1x
or, tan1(ab1+ab)=tan1x
x=ab1+ab

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