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

Lösung

vereinfachen

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

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

Schritte zur Lösung

(\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)

Wende Bruchregel an:

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}

e x p an d (x + 3) (x - 4)

s im pl i f y d^{2} (\frac{c}{2} - \frac{d}{3})

s im pl i f y (\frac{3}{2} x + 30) (23 x + 30) \circ

e x p an d \frac{0.0176775 s ( 0.14142 s + 1 )}{0.0176775 s + 1}

e x p an d (7 x^{9} + 5 x^{5} + 85 x) l e f t (x^{4} - 4)