What is expand 1/4 cos(2θ)(3+cos(4θ)) ?

The solution to expand 1/4 cos(2θ)(3+cos(4θ)) is (3cos(2θ)+cos(2θ)cos(4θ))/4

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expand 1/4 cos(2θ)(3+cos(4θ))

expand

\frac{1}{4} cos (2 θ) (3 + cos (4 θ))

\frac{3 cos ( 2 θ ) + cos ( 2 θ ) cos ( 4 θ )}{4}

Solution steps

\frac{1}{4} cos (2 θ) (3 + cos (4 θ))

Apply the distributive law:

a (b + c) = ab + a c

\frac{1}{4} cos (2 θ) (3 + cos (4 θ)) = \frac{1}{4} cos (2 θ) \cdot 3 + \frac{1}{4} cos (2 θ) cos (4 θ)

= \frac{1}{4} cos (2 θ) \cdot 3 + \frac{1}{4} cos (2 θ) cos (4 θ)

Simplify

\frac{1}{4} cos (2 θ) \cdot 3 + \frac{1}{4} cos (2 θ) cos (4 θ) : \frac{3 cos ( 2 θ ) + cos ( 2 θ ) cos ( 4 θ )}{4}

= \frac{3 cos ( 2 θ ) + cos ( 2 θ ) cos ( 4 θ )}{4}

\frac{w ( t - w )}{4 tan ( \frac{θ}{2} )}

x (x - 5) (x + 5 - 22) (x + 5 + 22)

100 (\frac{b ^{2}}{8} + 75 (\frac{b}{2} + 25))

x (1 + y^{2}) d x - y (1 + x^{2}) d y

\frac{d}{d s} ((z) (3 x^{2} + y^{2} + 2 z^{4} - 10))

What is expand 1/4 cos(2θ)(3+cos(4θ)) ?
The solution to expand 1/4 cos(2θ)(3+cos(4θ)) is (3cos(2θ)+cos(2θ)cos(4θ))/4