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Q: Cossquaredx - sinsquaredx
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Can you prove that cossquaredx - sinsquaredx equals 2cossquaredx -1?

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What is the first deriviative of sinsquaredx?

If f(x) = sin^2(x) then f'(x) = 2 sin(x) d/dx(sin(x)) = 2 sin(x) cos(x) = sin(2x)