beweisen cos^2(2x)=1-sin^2(2x)

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

cos^{2} (x) + sin^{2} (x) = 1

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

\Rightarrow Wahr

p ro v e sin^{2} (x) sec (x) = \frac{sin ( x )}{cot ( x )}

p ro v e sec (x) = sin (x) (cot (x) + tan (x))

p ro v e \frac{tan ^{2} ( θ ) + 1}{tan ^{2} ( θ )} = csc^{2} (θ)

p ro v e sec^{2} (x) csc^{2} (x) - sec^{2} (x) = csc^{2} (x)

p ro v e \frac{sin ( θ ) + sin ( 3 θ )}{2 cos ( θ )} = sin (2 θ)