1. The hyperbolic functions cosh and sinh are defined by the formulas cosh(a) = 2 sinh(x) = 2 The functions tanh, coth, sech and csch are defined in terms of cosh and sinh analogously to how they are for trigonometric functions: tanh(x) = sinh (x) coth(x) = cosh(x) cosh(x) sinh(x) 1 sech(ac) = cosh (x) ' csch(x) = sinh (x)(b) The function sinh is one-to-one on R, and its range is R, so it has an inverse defined on R, which we call arcsinh. Use implicit differentiation to prove that 1 (arcsinh(a) )' = x2 + 1