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

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

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

simplify

cos^{2} (100 t + \frac{π}{3})

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

Solution steps

cos^{2} (100 t + \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

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

csc (arctan (v))

1 - sin^{2} (x) x

cos (377 t + 377 t + π)

cos (x - \frac{8 π}{3})

cos (2 π - a)

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