Trigonometry Examples

$- 3$

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.

$(- 3) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(- 3) \frac{180}{π}$ .

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Step 1.2.1

Combine $- 3$ and $\frac{180}{π}$ .

$\frac{- 3 \cdot 180}{π}$

Step 1.2.2

Multiply $- 3$ by $180$ .

$\frac{- 540}{π}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{540}{π}$

Step 1.4

$π$ is approximately equal to $3.14159265$ .

$- \frac{540}{3.14159265}$

Step 1.5

Convert to a decimal.

$- 171.88733853 °$

Step 2

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

$188.11266146$

Step 3

The angle is in the third quadrant.

Quadrant $3$

Step 4