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Question

If 2tan1(cosx)=tan1(2cosec x), then the value of x is:

A
3π4
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B
π4
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C
π3
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D
π6
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Solution

The correct option is B π4
We have 2tan1(cosx)=tan1(2cosec x)
tan12cosx1cos2x=tan1(2cosec x)2cosxsin2x=2cosec x2cosx=2sinxx=π4

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