I am doing an integration question:
$$\int \frac{1-\cos^{2m}x}{1-\cos^2x}$$
So I have to show that $$\frac{1-\cos^{2m}x}{1-\cos^2x}=1+\cos^2x+\cos^4x+...+\cos^{2(m-1)}$$
How can I do that?
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asked May 9, 2013 at 3:55
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1 Answer
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Hint: could you do it if it was $\frac{1-u^{m}}{1-u}$, where $u = \cos^{2}(x)$?
answered May 9, 2013 at 3:58