Let gd(y) = tan1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of
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Let gd(y) = tan−1(sinh y) be the so-called gudermannian, which arises in cartography. 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).
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Prove that d dy -gd(y) = sechy.
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