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

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

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

\Rightarrow Wahr

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

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

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

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

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