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

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

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

\Rightarrow Wahr

p ro v e cos (- \frac{x π}{3}) = cos (\frac{x π}{3})

p ro v e 3 csc (x) - cot (x) = \frac{3 - cos ( x )}{sin ( x )}

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

p ro v e 2 sin (x) = tan (x)

p ro v e cot (x) - 1 = csc (x) (cos (x) - sin (x))