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\text { If } \tan n \theta=\tan m \theta, then the different values of  \theta will be in

Option: 1

A.P.


Option: 2

G.P.


Option: 3

H.P.


Option: 4

None of these


Answers (1)

best_answer

Important Properties of an AP

If each term of an A.P. is multiplied by a fixed constant or divided by a non-zero fixed constant then the resulting series is also in A.P.

In this Question,

\\\tan n\theta=\tan m\theta\\ n\theta= N{\pi}+m\theta \ \ \ \ Where\ N\epsilon I\\ (n-m)\theta =N{\pi}\\ \theta =\frac{N\pi}{n-m}\\ \theta \text{ is in A.P. with common difference }\frac{\pi}{n-m}

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shivangi.bhatnagar

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