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

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

\Rightarrow Wahr

p ro v e cot^{2} (x) sec^{2} (x) = cot^{2} (x) + 1

p ro v e \frac{sin ( x )}{cos ( x ) + sin ( x )} = 1

p ro v e cos (x) = \frac{cot ( x )}{tan ( x )}

p ro v e cos^{2} (2 a) - sin^{2} (2 a) = cos (4 a)

p ro v e tan (2 x) - 2 cos (x) = 0