Trigonometry Examples

$\frac{1}{\cos (z)} - \frac{\sin (x)}{\cos (z)}$

Step 1

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

$\sec (z) - \frac{\sin (x)}{\cos (z)}$

Step 2

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

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

Step 3

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

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

Step 4

Simplify.

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Step 4.1

Divide $\sin (x)$ by $1$ .

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

Step 4.2

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

$\sec (z) - (\sin (x) \sec (z))$

$\sec (z) - \sin (x) \sec (z)$