erweitern 2left(1-cos(2x))(1+cot(2x))

Lösung

erweitern

2 l e f t (1 - cos (2 x)) (1 + cot (2 x))

2 e l f t + 2 e l f t cot (2 x) - 2 e l f t cos (2 x) - 2 e l f t cos (2 x) cot (2 x)

Schritte zur Lösung

2 l e f t (1 - cos (2 x)) (1 + cot (2 x))

= 2 e l f t (1 - cos (2 x)) (1 + cot (2 x))

Multipliziere aus

(1 - cos (2 x)) (1 + cot (2 x)) : 1 + cot (2 x) - cos (2 x) - cos (2 x) cot (2 x)

= 2 l e f t (1 + cot (2 x) - cos (2 x) - cos (2 x) cot (2 x))

Multipliziere aus

2 l e f t (1 + cot (2 x) - cos (2 x) - cos (2 x) cot (2 x)) : 2 e l f t + 2 e l f t cot (2 x) - 2 e l f t cos (2 x) - 2 e l f t cos (2 x) cot (2 x)

= 2 e l f t + 2 e l f t cot (2 x) - 2 e l f t cos (2 x) - 2 e l f t cos (2 x) cot (2 x)

s im pl i f y (1 - cos (θ)) (cos (θ))

e x p an d \frac{1}{s ( s + 1 ) ( s + 10 )}

e x p an d \frac{( 1.5 ) ( 1 + 15 t ^{2} ) ^{2}}{t}

e x p an d sec (x) (1 - sin (x)) (sec (x) + tan (x))

e x p an d cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)