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

The solution to expand 3/4 cos(2)(x+pi/3) is (3cos(2)x)/4+(picos(2))/4

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expand 3/4 cos(2)(x+pi/3)

expand

\frac{3}{4} cos (2) (x + \frac{π}{3})

\frac{3 cos ( 2 ) x}{4} + \frac{π cos ( 2 )}{4}

Solution steps

\frac{3}{4} cos (2) (x + \frac{π}{3})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{3}{4} cos (2), b = x, c = \frac{π}{3}

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

= \frac{3}{4} cos (2) x + \frac{3}{4} \cdot \frac{π}{3} cos (2)

Simplify

\frac{3}{4} cos (2) x + \frac{3}{4} \cdot \frac{π}{3} cos (2) : \frac{3 cos ( 2 ) x}{4} + \frac{π cos ( 2 )}{4}

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

\frac{( 9 y ^{6} - 1 ) ^{2}}{36 y ^{6}}

\frac{10}{( x + 1 ) ( x + 2 ) ( x ^{2} + 1 )}

(- 6 = 2) (- 4 + 10)

\frac{1}{x ^{2} ( x ^{2} + 4 )}

(\frac{3}{5})^{2}

What is expand 3/4 cos(2)(x+pi/3) ?
The solution to expand 3/4 cos(2)(x+pi/3) is (3cos(2)x)/4+(picos(2))/4