化简 1/2 (x-1/2 sin(2x))cos(x)

解答

化简

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

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

求解步骤

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

使用分式法则:

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

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

使用法则:

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}

e x p an d (x - 1)^{2} sin (\frac{1}{x - 1})

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

e x p an d \frac{8 x - 5}{( 4 x - 7 ) ^{2}}

e x p an d (\frac{4}{2 - 5 x})^{3}

e x p an d \frac{7 ( x + h ) ^{2}}{2}