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Question

The total number of solutions of tanx+cotx=2cosecx in [2π,2π] is equal to.

A
7
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B
6
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C
4
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D
2
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Solution

The correct option is C 4
tanx+cotx=2cosecxsinxcosx+cosxsinx=2sinx1sinx .cosx=2sinxsinx0cosx=12 x=±π3,±5π3

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