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Question
- which of the following angles is equivalent to π/6 radians? a. π/12 radians b. 60 degrees c. 30 degrees d. π/3 radians
Step1: Convert radians to degrees
Use the formula \( \text{Degrees}=\frac{180}{\pi}\times\text{Radians} \).
For \( \frac{\pi}{6} \) radians: \( \frac{180}{\pi}\times\frac{\pi}{6} \).
Step2: Simplify the expression
\( \frac{180}{\pi}\times\frac{\pi}{6}=\frac{180}{6}=30 \) degrees.
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C. 30 degrees