Trigonometry Examples

$\frac{\cos (3 x)}{\cos (x)}$

Step 1

Rewrite $\frac{\cos (3 x)}{\cos (x)}$ as a product.

$\cos (3 x) \frac{1}{\cos (x)}$

Step 2

Write $\cos (3 x)$ as a fraction with denominator $1$ .

$\frac{\cos (3 x)}{1} \cdot \frac{1}{\cos (x)}$

Step 3

Simplify.

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Step 3.1

Divide $\cos (3 x)$ by $1$ .

$\cos (3 x) \frac{1}{\cos (x)}$

Step 3.2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\cos (3 x) \sec (x)$