Precalculus Examples

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

Step 1

Rewrite $\sec (x + 1)$ in terms of sines and cosines.

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

Step 2

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

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

Step 3

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

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

Step 4

Rewrite $\sec (x - 1)$ in terms of sines and cosines.

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

Step 5

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

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

Step 6

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

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