erweitern (2cos(2x)cos(x)-cos(3x))sec(x)

Lösung

erweitern

(2 cos (2 x) cos (x) - cos (3 x)) sec (x)

2 cos (2 x) - cos (3 x) sec (x)

Schritte zur Lösung

(2 cos (2 x) cos (x) - cos (3 x)) sec (x)

= sec (x) (2 cos (2 x) cos (x) - cos (3 x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

sec (x) (2 cos (2 x) cos (x) - cos (3 x)) = sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x)

= sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x)

Vereinfache

sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x) : 2 cos (2 x) - cos (3 x) sec (x)

= 2 cos (2 x) - cos (3 x) sec (x)

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

e x p an d \frac{3 ( 4 + 5 )}{22}

e x p an d (4 + 3 sin (x))^{2}

e x p an d x^{2} e^{2 x} (3 + 2 x)

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