Trigonometry Examples

$6 \cos (\frac{π}{3}) - 6 \tan (\frac{π}{4})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$6 (\frac{1}{2}) - 6 \tan (\frac{π}{4})$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6$ .

$2 (3) \frac{1}{2} - 6 \tan (\frac{π}{4})$

Step 1.2.2

Cancel the common factor.

$2 \cdot 3 \frac{1}{2} - 6 \tan (\frac{π}{4})$

Step 1.2.3

Rewrite the expression.

$3 - 6 \tan (\frac{π}{4})$

Step 1.3

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

$3 - 6 \cdot 1$

Step 1.4

Multiply $- 6$ by $1$ .

$3 - 6$

Step 2

Subtract $6$ from $3$ .

$- 3$