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

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

\Rightarrow Wahr

p ro v e cos (- x) = cos (x)

p ro v e cosh^{2} (x) - sinh^{2} (x) = 1

p ro v e \frac{1 - tan ^{2} ( x )}{1 + tan ^{2} ( x )} = cos (2 x)

p ro v e cos (α + β) = cos (α) cos (β) - sin (α) sin (β)

p ro v e cos (x) + cos (x) tan^{2} (x) = sec (x)