Questions: Final Exam Question 14 of 20 (1 point) Question Attempt: 1 of 1 =1 =3 =4 Answer the following. (a) Convert -3π/4 radians to degree measure. (b) Convert -5π/3 radians to degree measure.

Solution Steps

To convert radians to degrees, we use the formula: \[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \] Substitute \(-\frac{3 \pi}{4}\) into the formula: \[ \text{Degrees} = -\frac{3 \pi}{4} \times \frac{180}{\pi} \] Simplify: \[ \text{Degrees} = -\frac{3 \times 180}{4} = -\frac{540}{4} = -135 \] Thus, \(-\frac{3 \pi}{4}\) radians is equal to \(-135^\circ\).

Using the same formula: \[ \text{Degrees} = -\frac{5 \pi}{3} \times \frac{180}{\pi} \] Simplify: \[ \text{Degrees} = -\frac{5 \times 180}{3} = -\frac{900}{3} = -300 \] Thus, \(-\frac{5 \pi}{3}\) radians is equal to \(-300^\circ\).

Final Answer