Question

how would i simplify csc(x)*cot(x)/sec(x)

Answer 1

\[csc = \frac{1}{sin}\]
\[cot = \frac{cos}{sin}\]
so, from numerator you have \[\frac{1}{sin}*\frac{cos}{sin} = \frac{cos}{sin^2}\]
\[sec = \frac{1}{cos}---> \frac{1}{sec}=cos\]
so you have \[\frac{cos}{sin^2}*cos=\frac{cos^2}{sin^2} = cot^2\]

Answer 2

thanks