convert the angle in degrees to radians.\n-270°\n-270° = radian(s)\n(simplify your answer. type an exact…

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

Substitute (- 270^{\circ}) into the formula: (-270\times\frac{\pi}{180}).

Step3: Simplify the expression

Simplify (-270\times\frac{\pi}{180}). First, simplify the fraction (\frac{-270}{180}). Divide numerator and denominator by (90), we get (\frac{-270\div90}{180\div90}=\frac{- 3}{2}). So (-270\times\frac{\pi}{180}=-\frac{3\pi}{2}).

Answer:

(-\frac{3\pi}{2})