Evaluate sec(x)-1/(sec(x))

$\sec (x) - \frac{1}{\sec (x)}$

Step 1

Rewrite $\sec (x)$ in terms of sines and cosines.

$\sec (x) - \frac{1}{\frac{1}{\cos (x)}}$

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\cos (x)}$ .

$\sec (x) - (1 \cos (x))$

Step 3

Multiply $\cos (x)$ by $1$ .

$\sec (x) - \cos (x)$