Question

convert the angle in degrees to radians.
-195°
question help: video written example messag
submit question

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 \(- 195^{\circ}\), substitute into the formula: \(-195\times\frac{\pi}{180}\)

Step3: Simplify the fraction

\(-195\times\frac{\pi}{180}=-\frac{195\pi}{180}\). Divide numerator and denominator by 15: \(-\frac{13\pi}{12}\)

Answer:

\(-\frac{13\pi}{12}\)