Trigonometry Examples

288 °

$288 °$

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.

288 ° \cdot \frac{π}{180 °}

$288 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

36

$36$ .

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Step 2.1

Factor

36

$36$ out of

288

$288$ .

36 (8) \cdot \frac{π}{180}

$36 (8) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

36

$36$ out of

180

$180$ .

36 \cdot 8 \cdot \frac{π}{36 \cdot 5}

$36 \cdot 8 \cdot \frac{π}{36 \cdot 5}$ radians

Step 2.3

Cancel the common factor.

36 \cdot 8 \cdot \frac{π}{36 \cdot 5}

$36 \cdot 8 \cdot \frac{π}{36 \cdot 5}$ radians

Step 2.4

Rewrite the expression.

8 \cdot \frac{π}{5}

$8 \cdot \frac{π}{5}$ radians

8 \cdot \frac{π}{5}

$8 \cdot \frac{π}{5}$ radians

Step 3

Combine

8

$8$ and

\frac{π}{5}

$\frac{π}{5}$ .

\frac{8 π}{5}

$\frac{8 π}{5}$ radians

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

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