Question

The value of $tan\theta \times cosec\theta \times cot\theta$ is

• A. $tan\theta$
• B. $cosec\theta$
• C. $cot\theta$
• D. none of the above

Answer 1

The correct option is B

$cosec\theta$

$cot\theta =\frac{1}{tan\theta }$

$⟹tan\theta \times cot\theta =1$

$\therefore tan\theta \times cosec\theta \times cot\theta =tan\theta \times cot\theta \times cosec\theta =1\times cosec\theta =cosec\theta$