Is cosh^2(x)-sinh^2(x)=1 ?

The answer to whether cosh^2(x)-sinh^2(x)=1 is True

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prove cosh^2(x)-sinh^2(x)=1

prove

cosh^{2} (x) - sinh^{2} (x) = 1

True

Solution steps

cosh^{2} (x) - sinh^{2} (x) = 1

Use the Hyperbolic identity:

cosh^{2} (x) - sinh^{2} (x) = 1

\Rightarrow True

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

p ro v e cos (α + β) = cos (α) cos (β) - sin (α) sin (β)

p ro v e cos (x) + cos (x) tan^{2} (x) = sec (x)

p ro v e tan (x) csc (x) cos (x) = 1

p ro v e cos (3 x) + cos (x) = 2 cos (2 x) cos (x)