Tutorial - Intermeshing Crochet Basics

COSH Function

SOLVED:The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a telephone wire, for example). It is defined as coshx=(e^x e^-x)/(2). a. Determine its end behavior by evaluating limcoshx and limx →-∞ coshx. b. Evaluate cosh 0. Use symmetry and part (a) to sketch a plausible graph for y=coshx.

SOLVED:Show that \cosh (x y)=\cosh x \cosh y \sinh x \sinh y for all real numbers x and y.