Question

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

Answer 1

Answer:

B

Step-by-step explanation:

Using the identities

sec x = $\frac{1}{cosx}$ , csc x = $\frac{1}{sinx}$ , cot x = $\frac{cosx}{sinx}$ , then

sec²x cot²x

= $\frac{1}{cos^2x}$ × $\frac{cos^2x}{sin^2x}$ ( cancel out cos²x )

= $\frac{1}{sin^2x}$

= csc²x → B