Proving Hyperbolic Identities (5 examples)

We will prove 5 hyperbolic identities. We will mainly use sinh(x)=(e^x-e^(-x))/2 and cosh(x)=(e^x+e^(-x))/2 to show these results. Subscribe for more precalculus & calculus tutorials 👉 https://bit.ly/just_calc

0:00 sinh^2(x)=-1/2+1/2cosh(2x)
2:51 sinh(2x)=2sinh(x)cosh(x)
6:02 sinh^2(x)+cosh^2(x)=cosh(2x)
9:14 tanh(ln(x))=(x^2-1)/(x^2+1)
11:44 1-tanh^2(x)=sech^2(x)

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