Trigonometry Examples

$- 2 π$

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.

$(- 2 π) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $- 2 π$ .

$π \cdot - 2 \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$π \cdot - 2 \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$- 2 \cdot 180$

Step 1.3

Multiply $- 2$ by $180$ .

$- 360$

Step 1.4

Convert to a decimal.

$- 360 °$

Step 2

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

$0$

Step 3

The angle is between the fourth and first quadrant.

Between Quadrant $4$ and $1$

Step 4