By using Power series, show that Taurinus's "log spherical" formula cosh(a/K)=cosh(b/K)cosh(c/K)-sinh(b/K)sinh(c)(K)cos(A) reduces to the law of cosines as k approaches infinity.
By using Power series, show that Taurinus's "log spherical" formula cosh(a/K)=cosh(b/K)cosh(c/K)-sinh(b/K)sinh(c)(K)cos(A) reduces to the law of cosines as k approaches infinity.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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By using Power series, show that Taurinus's "log spherical" formula
cosh(a/K)=cosh(b/K)cosh(c/K)-sinh(b/K)sinh(c)(K)cos(A)
reduces to the law of cosines as k approaches infinity.
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