How do you simplify cos^4(x) by using power reducing formulae? [closed]

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How do you simplify $\cos^4(x)$ using the power reducing formula?

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1 Answer

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You probably mean using $\cos^2x=(1+\cos2x)/2$, so $$ \cos^4x=\frac{1}{4}(1+2\cos2x+\cos^22x) $$ Now apply the same to $\cos^22x$.

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