Trigonometry Examples

18

$18$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

18 ° \cdot \frac{π}{180 °}

$18 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

18

$18$ .

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Step 2.1

Factor

18

$18$ out of

180

$180$ .

18 \cdot \frac{π}{18 (10)}

$18 \cdot \frac{π}{18 (10)}$ radians

Step 2.2

Cancel the common factor.

18 \cdot \frac{π}{18 \cdot 10}

$18 \cdot \frac{π}{18 \cdot 10}$ radians

Step 2.3

Rewrite the expression.

\frac{π}{10}

$\frac{π}{10}$ radians

\frac{π}{10}

$\frac{π}{10}$ radians

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

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