Question

convert the following degree measure to radians. -90° -90°=□ radians (simplify your answer. type an exact answer, using π as needed.)

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180^\circ} \).

Step2: Substitute the given degree measure

We are given \( -90^\circ \). Substituting into the formula, we get:
\( -90^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the expression

Simplify the fraction \( \frac{-90}{180} \). We can divide both the numerator and the denominator by 90:
\( \frac{-90 \div 90}{180 \div 90} = \frac{-1}{2} \)
So, \( -90^\circ \times \frac{\pi}{180^\circ} = -\frac{\pi}{2} \)

Answer:

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