Question

Which expression is equivalent to sec^2xcot^2x?

A)sin^2x
B)csc^2x
C)1\cos^2x
D)1\sin^2x

Answer 1

\[\sec x = \frac{1}{\cos x}\]
\[\cot x = \frac{\cos x}{\sin x}\]

These are the two identities you'll need

Answer 2

\[\sec^2 x \cot^2 x\] =
\[(\frac{1}{\cos x})^2 (\frac{\cos x}{\sin x})^2\]