Question

Evaluate:
$3{\cot }^2\theta -3{\csc }^2\theta$.

Answer 1

We have,

$3{\cot }^2\theta -3{\csc }^2\theta$

$\Rightarrow -3({\csc }^2\theta -{\cot }^2\theta )\therefore {\csc }^2\theta -{\cot }^2\theta =1$

$\Rightarrow -3\times 1$

$\Rightarrow -3$

Hence, this is the answer.