Precalculus Examples

$\log_{2} (\sec (\frac{π}{3})) - 2 \log (\tan (\frac{π}{4}))$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\sec (\frac{π}{3})$ is $2$ .

$\log_{2} (2) - 2 \log (\tan (\frac{π}{4}))$

Step 1.2

Logarithm base $2$ of $2$ is $1$ .

$1 - 2 \log (\tan (\frac{π}{4}))$

Step 1.3

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$1 - 2 \log (1)$

Step 1.4

Logarithm base $10$ of $1$ is $0$ .

$1 - 2 \cdot 0$

Step 1.5

Multiply $- 2$ by $0$ .

$1 + 0$

Step 2

Add $1$ and $0$ .

$1$