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 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}

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

\frac{( e ^{x} + e ^{- x} ) ^{2}}{4}

\frac{8 x - 5}{( 4 x - 7 ) ^{2}}

x^{2} (10 - \frac{x ^{2}}{2})

(\frac{4}{2 - 5 x})^{3}

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