Trigonometry Examples

$\csc (30)$

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 $\csc (30)$ is $2$ .

$2 \cdot \frac{π}{180}$ radians

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $180$ .

$2 \cdot \frac{π}{2 (90)}$ radians

Step 3.2

Cancel the common factor.

$2 \cdot \frac{π}{2 \cdot 90}$ radians

Step 3.3

Rewrite the expression.

$\frac{π}{90}$ radians