### Home > PC > Chapter 6 > Lesson 6.2.1 > Problem6-78

6-78.

Prove that $\frac{ \sec x \cdot \tan x } {\sin x } = \sec^2 x$.

Rewrite the expression on the left using only sine and cosine.

$\frac{\frac{1}{\cos x}\cdot\frac{\sin(x)}{\cos(x)}}{\sin(x)}$