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Question

If 2tan1(cos x)=tan1(2 cosec x), then x=

A
3π4
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B
π4
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C
π3
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D
None of these
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Solution

The correct option is B π4
We have 2tan1(cos x)=tan1(2 cosec x)
tan1(2cos x1cos2x)=tan1(2cosec x)
2cos xsin2x=2cosec x2 cos x=2sin x
or sin x=cos x
x=π4.

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