Question

Simplify $sin\theta \times cosec\theta \times cot\theta .$

• A. $tan\theta$
• B. $sin\theta$
• C. $cot\theta$
• D. $sec\theta$

Answer 1

The correct option is C $cot\theta$

We know that,
$cosec\theta =\frac{1}{sin\theta }$

$\Rightarrow sin\theta \times cosec\theta =1$

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