Exercises 45-48 refer to the function g d(y)=tan^-1(sinhy), called the Gudermannian. In a map of the earth constructed by Mercator projection, points located y radial units from the equator correspond to points on the globe of latitude g d(y) . Let f(y)=2 tan^-1(e^y)-π/ 2 . Prove that g d(y)=f(y) . Hint:Show that g d^'(y)=f^'(y) and f(0)=g(0) | Numerade
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