What is cos^2(5x+pi/3) ?

The solution to cos^2(5x+pi/3) is 1/4 cos^2(5x)-(sqrt(3))/2 cos(5x)sin(5x)+3/4 sin^2(5x)

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simplify cos^2(5x+pi/3)

simplify

cos^{2} (5 x + \frac{π}{3})

\frac{1}{4} cos^{2} (5 x) - \frac{3}{2} cos (5 x) sin (5 x) + \frac{3}{4} sin^{2} (5 x)

Solution steps

cos^{2} (5 x + \frac{π}{3})

Rewrite using trig identities

= (\frac{1}{2} cos (5 x) - \frac{3}{2} sin (5 x))^{2}

Simplify

(\frac{1}{2} cos (5 x) - \frac{3}{2} sin (5 x))^{2} : \frac{1}{4} cos^{2} (5 x) - \frac{3}{2} cos (5 x) sin (5 x) + \frac{3}{4} sin^{2} (5 x)

= \frac{1}{4} cos^{2} (5 x) - \frac{3}{2} cos (5 x) sin (5 x) + \frac{3}{4} sin^{2} (5 x)

\frac{1}{tan ( \frac{π}{2} - x )}

cos (- x - π)

2 cos^{2} (3 x - \frac{π}{4}) - 1

cos (πn) - cos (- πn)

\frac{10 m}{sin ( 4 0 ^{\circ} )}

What is cos^2(5x+pi/3) ?
The solution to cos^2(5x+pi/3) is 1/4 cos^2(5x)-(sqrt(3))/2 cos(5x)sin(5x)+3/4 sin^2(5x)