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`

Step-by-step explanation

To prove LHS equal to RHS,

Write the expression in terms of sine and cosine.

`\begin{gathered} sin^2x(cos^2x)/(sin^2x)=cos^2x \\ cos^2x=cos^2x \end{gathered}`

Answer

Hence the correct option is B.