Precalculus Examples

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

Step 1

Rewrite $\log (\frac{1 - \sin (x)}{\cos (x)})$ as $\log (1 - \sin (x)) - \log (\cos (x))$ .

$- (\log (1 - \sin (x)) - \log (\cos (x)))$

Step 2

Apply the distributive property.

$- \log (1 - \sin (x)) - - \log (\cos (x))$

Step 3

Multiply $- - \log (\cos (x))$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$- \log (1 - \sin (x)) + 1 \log (\cos (x))$

Step 3.2

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

$- \log (1 - \sin (x)) + \log (\cos (x))$