Trigonometry Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Reorder $\cos (\frac{π}{3})$ and $\sec (\frac{π}{3})$ .

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

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$1 - \cot (\frac{π}{6})$

Step 2

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

$1 - \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$1 - \sqrt{3}$

Decimal Form:

$- 0.73205080 \dots$