beweisen coth^2(x)-csch^2(x)=1

Lösung

beweisen

coth^{2} (x) - csch^{2} (x) = 1

Wahr

Schritte zur Lösung

coth^{2} (x) - csch^{2} (x) = 1

Hyperbolische Identität anwenden:

csch^{2} (x) = coth^{2} (x) - 1

csch^{2} (x) - coth^{2} (x) = - 1

\Rightarrow Wahr

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

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

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

p ro v e sin (x) cos (x) + sin (3 x) sec (x) = tan (x)

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