Find the Quadrant of the Angle -(15pi)/4

$- \frac{15 π}{4}$

Step 1

Convert the radian measure to degrees.

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

$(- \frac{15 π}{4}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

Move the leading negative in $- \frac{15 π}{4}$ into the numerator.

$\frac{- 15 π}{4} \cdot \frac{180}{π}$

Factor $π$ out of $- 15 π$ .

$\frac{π \cdot - 15}{4} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot - 15}{4} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{- 15}{4} \cdot 180$

Cancel the common factor of $4$ .

Factor $4$ out of $180$ .

$\frac{- 15}{4} \cdot (4 (45))$

Cancel the common factor.

$\frac{- 15}{4} \cdot (4 \cdot 45)$

Rewrite the expression.

$- 15 \cdot 45$

Multiply $- 15$ by $45$ .

$- 675$

Convert to a decimal.

$- 675 °$

Step 2

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

$45$

Step 3

The angle is in the first quadrant.

Quadrant $1$

Step 4