Alignment chart for circular and hyperbolic functions of a complex argument in rectangular coordinates

THIS chart is based on the expansion formula: sinh (x ± j y) = sinh x cos y ± j cosh x sin y. The two parts of the resulting expansion readily lend themselves to solution by an Alignment Chart. Thus Scale B is plotted to log. sinh x, and numbers used for grading are actual values of x. In the same way, Scale C is plotted to log. cos y, and numbers used for grading are actual values of y. The Scale E is plotted to the logs, of the products of Scales B and C, and the numbers these logs, represent are used for grading.