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

Lösung

beweisen

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

Wahr

Schritte zur Lösung

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

Verwende die Pythagoreische Identität:

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

\Rightarrow Wahr

p ro v e 1 - sin^{5} (x) = cos^{2} (x)

p ro v e cot (\frac{π}{2} - θ) cot (θ) = 1

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

p ro v e 4 (5 cos (2 x)) + (- 20 cos (2 x)) = 0

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