What is cos^2(100x+pi/3) ?

The solution to cos^2(100x+pi/3) is 1/4 cos^2(100x)-(sqrt(3))/2 cos(100x)sin(100x)+3/4 sin^2(100x)

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simplify cos^2(100x+pi/3)

simplify

cos^{2} (100 x + \frac{π}{3})

\frac{1}{4} cos^{2} (100 x) - \frac{3}{2} cos (100 x) sin (100 x) + \frac{3}{4} sin^{2} (100 x)

Solution steps

cos^{2} (100 x + \frac{π}{3})

Rewrite using trig identities

= (\frac{1}{2} cos (100 x) - \frac{3}{2} sin (100 x))^{2}

Simplify

(\frac{1}{2} cos (100 x) - \frac{3}{2} sin (100 x))^{2} : \frac{1}{4} cos^{2} (100 x) - \frac{3}{2} cos (100 x) sin (100 x) + \frac{3}{4} sin^{2} (100 x)

= \frac{1}{4} cos^{2} (100 x) - \frac{3}{2} cos (100 x) sin (100 x) + \frac{3}{4} sin^{2} (100 x)

cos (n - π)

5 - 5 sin^{2} (x)

cot (- x) tan (- x)

sin (\frac{π}{2} - X)

sin (π + θ) + cos (π + θ)

What is cos^2(100x+pi/3) ?
The solution to cos^2(100x+pi/3) is 1/4 cos^2(100x)-(sqrt(3))/2 cos(100x)sin(100x)+3/4 sin^2(100x)