beweisen cot^2(x)=-1+csc^2(x)

Lösung

beweisen

cot^{2} (x) = - 1 + csc^{2} (x)

Wahr

Schritte zur Lösung

cot^{2} (x) = - 1 + csc^{2} (x)

Verwende die Pythagoreische Identität:

1 + cot^{2} (x) = csc^{2} (x)

cot^{2} (x) = csc^{2} (x) - 1

\Rightarrow Wahr

p ro v e sin (2 x) - cos (2 x) = tan (2 x) - 1

p ro v e (tan (θ) + cot (θ)) sin (θ) cos (θ) = 1

p ro v e 3 (tan (x)) + 12 = 3

p ro v e 2 cos (x) tan (x) cot (x) = 2

p ro v e sec (2 x) = \frac{csc ( x )}{csc ( x ) - 2 sin ( x )}