Question

If $cosec\Theta -cot\Theta =\frac{1}{3}$, then the value of $(cosec\Theta +cot\Theta )$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (C)

3

$cosec\theta -\cot \theta =\frac{1}{3}$

$\Rightarrow cosec\theta -\cot \theta =\frac{{cosec}^2\theta -{\cot }^2\theta }{3}$

$\Rightarrow 3(cosec\theta -\cot \theta )=(cosec\theta -\cot \theta )(cosec\theta -\cot \theta )$

$\therefore (cosec\theta -\cot \theta )=3$

Hence, the answer is $3.$