Answered: Exercises 45-48 refer to the function… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Exercises 45-48 refer to the function gd(y) = tan-'(sinh y), 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 gd(y).
45. Prove that
-gd(y) = sech y.
dy

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