Trigonometry Examples

$- 0.866$

Step 1

Convert the radian measure to degrees.

Tap for more steps...

Step 1.1

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

$(- 0.866) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(- 0.866) \frac{180}{π}$ .

Tap for more steps...

Step 1.2.1

Combine $- 0.866$ and $\frac{180}{π}$ .

$\frac{- 0.866 \cdot 180}{π}$

Step 1.2.2

Multiply $- 0.866$ by $180$ .

$\frac{- 155.88}{π}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{155.88}{π}$

Step 1.4

Replace $π$ with an approximation.

$- \frac{155.88}{3.14159265}$

Step 1.5

Divide $155.88$ by $3.14159265$ .

$- 1 \cdot 49.61814505$

Step 1.6

Multiply $- 1$ by $49.61814505$ .

$- 49.61814505$

Step 1.7

Convert to a decimal.

$- 49.61814505 °$

Step 2

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

$310.38185494$

Step 3

The angle is in the fourth quadrant.

Quadrant $4$

Step 4