Question

convert the angle $\frac{-3\pi}{4}$ from radians to degrees:
$\frac{-3\pi}{4}=\square^{circ}$
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Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For the angle \( \frac{- 3\pi}{4}\) radians, we substitute into the formula: \( \frac{-3\pi}{4}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

Cancel out the \( \pi\) terms: \( \frac{-3}{4}\times180^{\circ}\).
Then calculate \( -3\times45^{\circ}\) (since \( \frac{180}{4} = 45\)).

Answer:

\(-135\)