Trigonometry Examples

$\frac{16 π}{3}$

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.

$(\frac{16 π}{3}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

Tap for more steps...

Step 1.2.1

Factor $π$ out of $16 π$ .

$\frac{π \cdot 16}{3} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 16}{3} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{16}{3} \cdot 180$

Step 1.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.3.1

Factor $3$ out of $180$ .

$\frac{16}{3} \cdot (3 (60))$

Step 1.3.2

Cancel the common factor.

$\frac{16}{3} \cdot (3 \cdot 60)$

Step 1.3.3

Rewrite the expression.

$16 \cdot 60$

Step 1.4

Multiply $16$ by $60$ .

$960$

Step 1.5

Convert to a decimal.

$960 °$

Step 2

For angles greater than $360 °$ , subtract $360 °$ from the angle until the angle is less than $360 °$ .

$240$

Step 3

The angle is in the third quadrant.

Quadrant $3$

Step 4