Trigonometry Examples

- 60 °

$- 60 °$

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.

- 60 ° \cdot \frac{π}{180 °}

$- 60 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

60

$60$ .

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Step 2.1

Factor

60

$60$ out of

- 60

$- 60$ .

60 (- 1) \cdot \frac{π}{180}

$60 (- 1) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

60

$60$ out of

180

$180$ .

60 \cdot - 1 \cdot \frac{π}{60 \cdot 3}

$60 \cdot - 1 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.3

Cancel the common factor.

$60 \cdot - 1 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.4

Rewrite the expression.

$- 1 \cdot \frac{π}{3}$ radians

$- 1 \cdot \frac{π}{3}$ radians

Step 3

Rewrite

$- 1 \frac{π}{3}$ as

$- \frac{π}{3}$ .

$- \frac{π}{3}$ radians

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