Trigonometry Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

Combine $\cos (x)$ and $\frac{1}{1 + \sec (x)}$ .

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