hyperbolic functions cheatsheet 1 intro for historical reasons hyperbolic functions have little or no room at all in the syllabus of a calculus course but as a matter of fact ...
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...Hyperbolic functions cheatsheet intro for historical reasons have little or no room at all in the syllabus of a calculus course but as matter fact they same dignity trigonometric unfortu nately this can be completely understood only if you some knowledge complex numbers roughly speaking ordinary are purely real num bers and imaginary moment we to postpone discussion end calc still should aware that impressive similarity between trig formulas is not pure coincidence most follow correspond precisely formula dier by change sign each i will explicitly state occurs dierent marked green main purpose paper give bunch memorize make just like up signs correct always checked with very quick calculation denitions denition sine cosine x sinhx e coshx there two equivalent euler s require ix sinx cosx where prefer substituting these keeping mind it immediate deduce cos isin mention sake completeness because fun from dene tangent cotangent secant cosecant way did tanhx cothx sechx cschx basic propert...