Trigonometry Examples

75

$75$

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.

75 ° \cdot \frac{π}{180 °}

$75 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

15

$15$ .

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Step 2.1

Factor

15

$15$ out of

75

$75$ .

15 (5) \cdot \frac{π}{180}

$15 (5) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

15

$15$ out of

180

$180$ .

15 \cdot 5 \cdot \frac{π}{15 \cdot 12}

$15 \cdot 5 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.3

Cancel the common factor.

$15 \cdot 5 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.4

Rewrite the expression.

$5 \cdot \frac{π}{12}$ radians

$5 \cdot \frac{π}{12}$ radians

Step 3

Combine

$5$ and

$\frac{π}{12}$ .

$\frac{5 π}{12}$ radians

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