Discussion
The root-mean-square value of \( \sin \omega t \) over a full cycle is
Answer: D
Square, average over the period and take the root, using \( \sin^{2}\theta = \tfrac{1}{2}(1 - \cos 2\theta) \) whose mean is \( 1/2 \):
\[ \text{r.m.s.} \;=\; \sqrt{\frac{1}{2}} \;=\; \frac{1}{\sqrt{2}} \;\approx\; 0.707. \]
The value \( 2/\pi \approx 0.637 \) is the mean of the *rectified* sine over a half cycle, a different average often confused with this one
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