Cot 2A+Tan A – InterviewSolution

1.

Cot 2A+Tan A

Answer»

cot 2A + tan A

= cos 2A/sin 2A + sin A/cos A

= (cos 2A cos A + sin 2A sin A) / sin 2A cos A

Using the compound angle formulae,

we know that cos (2A - A ) = cos 2A cos A + sin 2A sin A

Therefore, = cos (2A - A) / sin 2A cos A = cos A / sin 2A cos A = 1/ sin 2A = cosec 2A

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