Trigonometry Examples

$\cos (30)$

Step 1

To convert degrees to radians, multiply by

$\frac{π}{180 °}$ , since a full circle is

$360 °$ or

$2 π$ radians.

Step 2

The exact value of

$\cos (30)$ is

$\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2} \cdot \frac{π}{180}$ radians

Step 3

Multiply

$\frac{\sqrt{3}}{2} \cdot \frac{π}{180}$ .

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Step 3.1

Multiply

$\frac{\sqrt{3}}{2}$ by

$\frac{π}{180}$ .

$\frac{\sqrt{3} π}{2 \cdot 180}$ radians

Step 3.2

Multiply

$2$ by

$180$ .

$\frac{\sqrt{3} π}{360}$ radians

$\frac{\sqrt{3} π}{360}$ radians

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$