erweitern 2(1+sin(x))(1+cos(x))

Lösung

erweitern

2 (1 + sin (x)) (1 + cos (x))

2 cos (x) + 2 sin (x) + sin (2 x) + 2

Schritte zur Lösung

2 (1 + sin (x)) (1 + cos (x))

Schreibe

2 (1 + sin (x)) (1 + cos (x))

um:

2 (1 + cos (x) + sin (x) + cos (x) sin (x))

= 2 (1 + cos (x) + sin (x) + cos (x) sin (x))

Setze Klammern

= 2 \cdot 1 + 2 cos (x) + 2 sin (x) + 2 cos (x) sin (x)

Vereinfache

2 \cdot 1 + 2 cos (x) + 2 sin (x) + 2 cos (x) sin (x) : 2 cos (x) + 2 sin (x) + sin (2 x) + 2

= 2 cos (x) + 2 sin (x) + sin (2 x) + 2

e x p an d (z - r cos (θ))^{2}

e x p an d \frac{( 1 + x ) ^{\frac{4}{5}}}{1 + x}

e x p an d - e^{x^{2} - 5 x} (2 x - 5)

s im pl i f y (3 + z) (3 - z)

e x p an d 3 (12 - 2)