Question

for the angle below, convert to radian measure. answer exactly.

θ = -60°

converted to radians:

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula \( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}\).

Step2: Substitute the given degree value

Given \( \theta=- 60^{\circ}\), substitute into the formula: \( -60\times\frac{\pi}{180}\).

Step3: Simplify the expression

Simplify \( -60\times\frac{\pi}{180}\). Divide numerator and denominator by 60: \( \frac{-60\pi}{180}=\frac{-\pi}{3}\).

Answer:

\(-\frac{\pi}{3}\)