beweisen sin^2(z)+cos^2(z)=1

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

\Rightarrow Wahr

p ro v e 1 - cot (x) = csc^{2} (x) - 2 cot (x)

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

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

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

p ro v e sin^{2} (x) \cdot (1 + cot^{2} (x)) = 1