Trigonometry Examples

$9 \sec (\frac{π}{3}) \cos (\frac{π}{3}) - \tan (\frac{π}{6})$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Add parentheses.

$9 (\sec (\frac{π}{3}) \cos (\frac{π}{3})) - \tan (\frac{π}{6})$

Step 1.2

Rewrite $9 \sec (\frac{π}{3}) \cos (\frac{π}{3})$ in terms of sines and cosines.

$9 (\frac{1}{\cos (\frac{π}{3})} \cos (\frac{π}{3})) - \tan (\frac{π}{6})$

Step 1.3

Cancel the common factors.

$9 \cdot 1 - \tan (\frac{π}{6})$

Step 2

Multiply $9$ by $1$ .

$9 - \tan (\frac{π}{6})$

Step 3

The exact value of $\tan (\frac{π}{6})$ is $\frac{\sqrt{3}}{3}$ .

$9 - \frac{\sqrt{3}}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$9 - \frac{\sqrt{3}}{3}$

Decimal Form:

$8.42264973 \dots$