Precalculus Examples

$\frac{\sin (x + π)}{\cos (x - π)}$

Step 1

Rewrite $\frac{\sin (x + π)}{\cos (x - π)}$ as a product.

$\sin (x + π) \frac{1}{\cos (x - π)}$

Step 2

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

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

Step 3

Simplify.

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Step 3.1

Divide $\sin (x + π)$ by $1$ .

$\sin (x + π) \frac{1}{\cos (x - π)}$

Step 3.2

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

$\sin (x + π) \sec (x - π)$