Further Maths Hyperbolic Functions 0.0 / 5 ? Further MathsHyperbolic FunctionsASAQA Created by: RockSteelCreated on: 31-01-18 11:46 Cosh (x) =(e^x + e^-x)/2 1 of 9 Sinh (x) =(e^x - e^-x)/2 2 of 9 tanh (x) =(e^x - e^-x)/(e^x +e^-x) = (e^2x - 1)/(e^2x +1) 3 of 9 cosh^2 (x) ≡ 1 + sinh^2 (x) 4 of 9 sinh^2 (x) ≡ 1 + cosh^2 (x) 5 of 9 arcosh (x) =ln[ x +√(x^2 - 1) ] 6 of 9 arsinh (x) =ln[ x + √(x^2 + 1) ] 7 of 9 artanh (x) = 1/2 ln[ (1 + x)/(1 - x) ] 8 of 9 [arsinh (x) ]/[arcosh (x)] = {ln[ x + √(x^2 + 1) ]}/{ln[ x + √(x^2 - 1) ]} 9 of 9
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