Question

Which of the following strategies could be used to prove the equation below in two steps, including simplification?sin^2 x cot^2 x=cos^2 x

Answer 1

Given

The equation is given

$sin^2xcot^2x=cos^2x$

Explanation

To prove LHS equal to RHS,

Write the expression in terms of sine and cosine.

$\begin{gathered} sin^2x\frac{cos^2x}{sin^2x}=cos^2x \\ cos^2x=cos^2x \end{gathered}$

Answer

Hence the correct option is B.