Trigonometry Examples

$\frac{2}{\sec (x)}$

Step 1

Separate fractions.

$\frac{2}{1} \cdot \frac{1}{\sec (x)}$

Step 2

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

$\frac{2}{1} \cdot \frac{1}{\frac{1}{\cos (x)}}$

Step 3

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

$\frac{2}{1} (1 \cos (x))$

Step 4

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

$\frac{2}{1} \cos (x)$

Step 5

Divide $2$ by $1$ .

$2 \cos (x)$