How do you simplify this?

Question

${cos}^{2} (\frac{x}{2} - \frac{π}{6})$ $cos^(2)((x)/(2)-(\pi )/(6))$

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Answer 1 · 2018-03-16T17:25:35

${cos}^{2} (\frac{3 x - π}{6})$ $cos^2((3x-pi)/6)$

${cos}^{2} (\frac{x}{2} - \frac{π}{6})$ $cos^2(x/2 - pi / 6)$

Let's simplify $\frac{π}{2} - \frac{π}{6}$ $pi/2 - pi/6$

$\frac{3}{3} \times \frac{x}{2} - \frac{π}{6}$ $3/3 xx x/2 - pi/6$

$\frac{3 x - π}{6}$ $(3x-pi)/6$

So our problem can be simplified to ${cos}^{2} (\frac{3 x - π}{6})$ $cos^2((3x-pi)/6)$