beweisen tan^2(x)-sec^2(x)=-1

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

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

\Rightarrow Wahr

p ro v e cos (- θ) = cos (θ)

p ro v e 1 + sin (2 θ) = (sin (θ) + cos (θ))^{2}

p ro v e cos (\frac{5 π}{4} - x) = - \frac{2}{2} (cos (x) + sin (x))

p ro v e 5 cos^{2} (θ) + 3 sin^{2} (θ) = 3 + 2 cos^{2} (θ)

p ro v e cos (x + \frac{π}{3}) + cos (x - \frac{π}{3}) = cos (x)