Sine wave RMS value - derivation (without calculus) | Alternating current | Physics | Khan Academy

To calculate RMS value of any function, we first square it, then find the mean value over some time period, and finally take the square root of it. Since sine and sin squared functions are both symmetrical about their centers, we can calculate their mean value without using calculus. Let's explore how.

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Created by Mahesh Shenoy

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[Z-eng]

Hats down for you, though you could've just said it was 0.5 - 0.5*cos(2wt) and taken av of that, av of 0.5*cos(2wt) is zero and av of 0.5 is just 0.5, 0.5 - 0 = 0.5