Question

1+cot square theta * sin square theta =1

Answer 1

LHS =

$\: \: \: \: (1 + {cot}^{2} ) {sin}^{2} \\ = {sin}^{2} + {cot}^{2} . {sin}^{2} \\ = {sin}^{2} + \frac{ {cos}^{2} }{ {sin}^{2} } . {sin}^{2} \\ = {sin}^{2} + {cos}^{2} \\ = 1$

=RHS