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))

Vereinfache

(- \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)

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 2 π (2 x - 1)

e x p an d \frac{5 ( 192 3 - 421 )}{22}

e x p an d \frac{k ( k + 1 ) ( k - 1 )}{3}

e x p an d 144 t^{2} + (9 cos^{2} (t) + 9 cos (t) sin (t))^{2}

e x p an d (2 r cos (t) + x cos (t))^{2}