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Question
- convert from radians to degrees. show all work. you can type pi for the symbol π. \\(\frac{3}{4}\\)π
Step1: Recall the conversion formula
To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \).
Step2: Substitute the given radian measure
We are given \( \frac{3}{4}\pi \) radians. Substitute this into the formula: \( \frac{3}{4}\pi \times \frac{180^\circ}{\pi} \).
Step3: Simplify the expression
The \( \pi \) terms cancel out, leaving \( \frac{3}{4} \times 180^\circ \). Calculate \( \frac{3 \times 180^\circ}{4} = \frac{540^\circ}{4} = 135^\circ \).
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\( 135^\circ \)