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Question

If tan3θ1tan3θ+1=3, then the general value of θ is

A
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C
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Solution

The correct option is C
Given that, tan3θ1tan3θ+1=3
tan3θ1=3tan3θ+3
tan3θ13tan3θ3=0
tan3θ(13)(1+3)=0
tan3θ=1+313
=tan45+tan601tan45.tan60
=tan(45+60)
tan3θ=tan105=tan7π12
3θ=nπ+7π12θ=nπ3+7π36

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