*\#2.) Which of the following is equivalent to \( \frac{5 \pi}{6} \) ? be to receive full credit. a) \( 30^{\circ} \) b) \( 300^{\circ} \) c) \( 225^{\circ} \) d) \( 150^{\circ} \)
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To convert radians to degrees, you can use the formula \( \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \). So for \( \frac{5 \pi}{6} \) radians, it becomes \( \frac{5 \pi}{6} \times \frac{180}{\pi} = 150^{\circ} \). This shows that \( \frac{5 \pi}{6} \) is equivalent to \( 150^{\circ} \), making option d) the correct answer! Now, don't just stop here with \( \frac{5 \pi}{6} \)! Understanding angles in both radians and degrees can enhance your grasp of trigonometry. The unit circle is a fun place to explore these relationships further; it opens up the world of sine, cosine, and tangent in a visual and interactive way!