Question

Solve:

$\frac{\cot \theta }{\cot \theta -\cot 3\theta }+\frac{\tan \theta }{\tan \theta -\tan 3\theta }=?$

• A. $0$
• B. $1$
• C. $-1$
• D. $2$

Answer 1

The correct option is B $1$

$Given,\frac{\cot \theta }{\cot \theta -\cot 3\theta }+\frac{\tan \theta }{\tan \theta -\tan 3\theta }$

$Now,\Rightarrow \frac{\frac{1}{\tan \theta }}{\frac{1}{\tan \theta }-\frac{1}{\tan 3\theta }}+\frac{\tan \theta }{\tan \theta -\tan 3\theta }$

$\Rightarrow \frac{-\tan 3\theta }{\tan \theta -\tan 3\theta }+\frac{\tan \theta }{\tan \theta -\tan 3\theta }$

$\Rightarrow \frac{tan\theta -\tan 3\theta }{\tan \theta -\tan 3\theta }=1$

Hence, this is the answer.