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anonymous
 5 years ago
Prove cosh(2x) = cosh^(2)x + sin^(2)x
anonymous
 5 years ago
Prove cosh(2x) = cosh^(2)x + sin^(2)x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its just going back to the definitions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\cosh (nx) = \frac{1}{2} ( e^{nx} + e^{nx} ) \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sinh(nx) = \frac{1}{2}(e^{nx}  e^{nx} )\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[(\sinh(x))^2 + (\cosh(x))^2 = \frac{1}{4} ( e^{x} + e^{x} ) ^2 + \frac{1}{4}(e^{x}  e^{x})^2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then expand , you can do the rest , its pretty easy

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0all you need to know is (e^(x))^2 = e^(2x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then alot of things will cancel and you will get \[\frac{1}{2}(e^{2x} +e^{2x} ) \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which is cosh(2x) by definition
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