Trigonometry Examples

- 40 °

$- 40 °$

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.

- 40 ° \cdot \frac{π}{180 °}

$- 40 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

20

$20$ .

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Step 2.1

Factor

20

$20$ out of

- 40

$- 40$ .

20 (- 2) \cdot \frac{π}{180}

$20 (- 2) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

20

$20$ out of

180

$180$ .

20 \cdot - 2 \cdot \frac{π}{20 \cdot 9}

$20 \cdot - 2 \cdot \frac{π}{20 \cdot 9}$ radians

Step 2.3

Cancel the common factor.

$20 \cdot - 2 \cdot \frac{π}{20 \cdot 9}$ radians

Step 2.4

Rewrite the expression.

$- 2 \cdot \frac{π}{9}$ radians

$- 2 \cdot \frac{π}{9}$ radians

Step 3

Combine

$- 2$ and

$\frac{π}{9}$ .

$\frac{- 2 π}{9}$ radians

Step 4

Move the negative in front of the fraction.

$- \frac{2 π}{9}$ radians

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