# Find the Maclaurin series for

Find the Maclaurin series for ${\mathrm{cos}}^{2}\left(x\right)$
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Dalton Lester
We have, ${\mathrm{cos}}^{2}x=\frac{1}{2}+\frac{1}{2}\left(1-\frac{\left(2x{\right)}^{2}}{2!}+\frac{\left(2x{\right)}^{4}}{4!}-\frac{\left(2x{\right)}^{6}}{6!}+...\right)$