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

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Vereinfache

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

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

Wende Bruchregel an:

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

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

\frac{d}{d x} ((2) (x - 3 + \frac{2}{x + 1}))

e x p an d π \times r \times (9 + r)

e x p an d - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

e x p an d \frac{n ^{2} \cdot ( n - 1 ) \cdot ( n + 1 )}{12}

s im pl i f y (x + 5) (x - 1 + i) (x + 1 + i)