vereinfachen (1+tan(x))^2-sec^2(x)

Lösung

vereinfachen

(1 + tan (x))^{2} - sec^{2} (x)

2 tan (x)

Schritte zur Lösung

(1 + tan (x))^{2} - sec^{2} (x)

Schreibe

(1 + tan (x))^{2}

um:

1 + 2 tan (x) + tan^{2} (x)

= 1 + 2 tan (x) + tan^{2} (x) - sec^{2} (x)

Verwende die Pythagoreische Identität:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - tan^{2} (x) = 1

= 2 tan (x) + 1 - 1

Subtrahiere die Zahlen:

1 - 1 = 0

= 2 tan (x)

e x p an d \frac{1 - e ^{- 4 s}}{s ( s ^{2} + 2 s + 17 )}

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

e x p an d x^{\frac{3}{5}} (4 - x)

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

e x p an d lo g_{10} (x^{5} y z^{3})