erweitern sin^2(x)(1-tan^2(x)=tan^2(x)cos(2x))

Lösung

erweitern

sin^{2} (x) (1 - tan^{2} (x) = tan^{2} (x) cos (2 x))

sin^{2} (x) - sin^{2} (x) tan^{2} (x) = tan^{2} (x) cos (2 x)

Schritte zur Lösung

sin^{2} (x) (1 - tan^{2} (x) = tan^{2} (x) cos (2 x))

= sin^{2} (x) (1 - = tan^{2} (x) tan^{2} (x) cos (2 x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = sin^{2} (x), b = 1, c = tan^{2} (x) = tan^{2} (x) cos (2 x)

sin^{2} (x) \cdot 1 - sin^{2} (x) tan^{2} (x) = tan^{2} (x) cos (2 x)

1 \cdot sin^{2} (x) - sin^{2} (x) tan^{2} (x) = tan^{2} (x) cos (2 x)

Multipliziere aus

1 \cdot sin^{2} (x) - sin^{2} (x) tan^{2} (x) : sin^{2} (x) - sin^{2} (x) tan^{2} (x)

sin^{2} (x) - sin^{2} (x) tan^{2} (x) = tan^{2} (x) cos (2 x)

e x p an d 2 π (e^{2} - 2)

e x p an d \frac{d}{d x} (Q (x, M, C, T)) - (M \cdot C) (x - T)

e x p an d P (t) 10000 e^{0.2 (t - 1.37)^{2}}

\frac{\partial}{\partial K} ((Q) (3 K^{2} + 3 L))

e x p an d x (e^{x} + 1)