Trigonometry Examples

$\sin (45)$

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 $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

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

Step 3

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

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Step 3.1

Multiply $\frac{\sqrt{2}}{2}$ by $\frac{π}{180}$ .

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

Step 3.2

Multiply $2$ by $180$ .

$\frac{\sqrt{2} π}{360}$ radians