Question

convert the angle in degrees to radians.

• 135°
• 135° = radians

(simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given angle

We have the angle \( -135^\circ \). Substitute it into the formula: \( -135 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{-135}{180} \). Both numerator and denominator are divisible by 45. \( \frac{-135\div45}{180\div45} = \frac{-3}{4} \)
So, \( -135^\circ = -\frac{3\pi}{4} \) radians

Answer:

\( -\dfrac{3\pi}{4} \)