What is (1/2 (x-1/2 sin(2x)))(cos(x)) ?

The solution to (1/2 (x-1/2 sin(2x)))(cos(x)) is ((x-1/2 sin(2x))cos(x))/2

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simplify (1/2 (x-1/2 sin(2x)))(cos(x))

simplify

(\frac{1}{2} (x - \frac{1}{2} sin (2 x))) (cos (x))

\frac{( x - \frac{1}{2} sin ( 2 x ) ) cos ( x )}{2}

Solution steps

(\frac{1}{2} (x - \frac{1}{2} sin (2 x))) (cos (x))

Apply rule:

(a) = a

(cos (x)) = cos (x)

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( x - \frac{1}{2} sin ( 2 x ) ) cos ( x )}{2}

Apply rule:

1 \cdot a = a

1 \cdot (x - \frac{1}{2} sin (2 x)) cos (x) = (x - \frac{1}{2} sin (2 x)) cos (x)

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

\frac{( 2 x ^{3} - 9 x ^{2} + 3 x - 4 )}{( 2 x ^{2} - 7 x - 4 )}

(x + 3) (x - 4)

d^{2} (\frac{c}{2} - \frac{d}{3})

(\frac{3}{2} x + 30) (23 x + 30) \circ

\frac{0.0176775 s ( 0.14142 s + 1 )}{0.0176775 s + 1}

What is (1/2 (x-1/2 sin(2x)))(cos(x)) ?
The solution to (1/2 (x-1/2 sin(2x)))(cos(x)) is ((x-1/2 sin(2x))cos(x))/2