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))

Simplify

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

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144 t^{2} + (9 cos^{2} (t) + 9 cos (t) sin (t))^{2}

(2 r cos (t) + x cos (t))^{2}

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