Trigonometry Examples

$- \frac{1}{3}$

Step 1

Convert the radian measure to degrees.

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Step 1.1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(- \frac{1}{3}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{- 1}{3} \cdot \frac{180}{π}$

Step 1.2.2

Factor $3$ out of $180$ .

$\frac{- 1}{3} \cdot \frac{3 (60)}{π}$

Step 1.2.3

Cancel the common factor.

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

Step 1.2.4

Rewrite the expression.

$- 1 \cdot \frac{60}{π}$

Step 1.3

Rewrite $- 1 \frac{60}{π}$ as $- \frac{60}{π}$ .

$- \frac{60}{π}$

Step 1.4

$π$ is approximately equal to $3.14159265$ .

$- \frac{60}{3.14159265}$

Step 1.5

Convert to a decimal.

$- 19.09859317 °$

Step 2

For angles smaller than $0 °$ , add $360 °$ to the angle until the angle is larger than $0 °$ .

$340.90140682$

Step 3

The angle is in the fourth quadrant.

Quadrant $4$

Step 4