Question

Directions: Simplify each expression.
sin² x
tan² x
1. 1–

Answer 1

`1-\cfrac{\sin^2(x)}{\tan^2(x)}\implies 1-\cfrac{\sin^2(x)}{~~ ( \sin^2(x) )/( \cos^2(x) ) ~~}\implies 1-\cfrac{~~\begin{matrix} \sin^2(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{ \cos^2(x) }{ ~~\begin{matrix} \sin^2(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ } \\\\\\ 1-\cos^2(x)\implies \sin^2(x)`