What is cos^2(4x+pi/3) ?

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

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simplify cos^2(4x+pi/3)

simplify

cos^{2} (4 x + \frac{π}{3})

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

Solution steps

cos^{2} (4 x + \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

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

a r sin (- 1)

\frac{1}{sin ( 40 d e g )}

\frac{ln ( x ^{2} )}{sin ( 3 x )}

a rco sin (- \frac{1}{4})

- cos (2 x) - (- cos (- 2 x))

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