Question

Simplify:${\sin }^2\theta +{\cos }^2\theta +{\csc }^2\theta -{\cot }^2\theta$

Answer 1

given, ${\sin }^2\theta +{\cos }^2\theta +{\csc }^2\theta -{\cot }^2\theta$

$=1+1=2$ since ${\sin }^2\theta +{\cos }^2\theta =1$ and ${\csc }^2\theta -{\cot }^2\theta =1$