Question

determine whether the equation is an identity

Answer 1

Well first simplify the numerator considering \[\Large \sin (-\theta)=-\sin(\theta) ~~this~also~occurs~with~\csc (-\theta)=-\csc(\theta)\]

Answer 2

\[ \sin (-\theta)=-\sin(\theta) ~~this~also~occurs~with~\csc (-\theta)=-\csc(\theta)\]

Answer 3

oh and \[\Large \cos (-\theta)=\cos(\theta)\]