If $A + B + C = \pi ,\,\,n \in Z$, then $\tan \,\,nA + \tan \,\,nB + \tan \,\,nC$ is equal to

JEE MATHEMATICS MCQ: TRANSFORMATIONS

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Application +4 | -1

A + B + C = \pi ,\,\,n \in Z

, then

\tan \,\,nA + \tan \,\,nB + \tan \,\,nC

is equal to

View answer and explanation

Correct option: C

\tan \,\,nA\,\,\tan \,\,nB\,\,\tan \,\,nC

Option C (

\tan \,nA\,\tan \,nB\,\tan \,nC

) is correct because it follows from the trigonometric identity for the tangent of the sum of three angles when the sum of the angles is a multiple of

\pi

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