I'm calculating the average value of $\cos x$ by dividing the period $[0,2\pi]$ into ten intervals which means that I should be looking for the average of 11 results. What I get is approx. 0.09. The expected result 0 is only obtained if I average over the values of the first 10 points. However, 10 points do not span the whole period $[0, 2\pi]$. What are your thoughts on this apparent problem?
Averaging the values of $\cos x$ over one period
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algebra-precalculus
trigonometry
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