Trigonometry Examples

230 °

$230 °$

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.

230 ° \cdot \frac{π}{180 °}

$230 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

10

$10$ .

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Step 2.1

Factor

10

$10$ out of

230

$230$ .

10 (23) \cdot \frac{π}{180}

$10 (23) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

10

$10$ out of

180

$180$ .

10 \cdot 23 \cdot \frac{π}{10 \cdot 18}

$10 \cdot 23 \cdot \frac{π}{10 \cdot 18}$ radians

Step 2.3

Cancel the common factor.

$10 \cdot 23 \cdot \frac{π}{10 \cdot 18}$ radians

Step 2.4

Rewrite the expression.

$23 \cdot \frac{π}{18}$ radians

$23 \cdot \frac{π}{18}$ radians

Step 3

Combine

$23$ and

$\frac{π}{18}$ .

$\frac{23 π}{18}$ radians

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