Question 3, Let o(0, 6) = (cos e sin o, sin 0 sin ø, cos o) be a parametrization of the unit sphere. Show that the curve defined for 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 3,
Let o(6, 6) = (cos 0 sin o, sin 0 sin o, cos o) be a parametrization of the unit
sphere. Show that the curve defined for 0<t< by
%3D
y(t) = o (In cot(
- ).
makes a constant angle with the parallels (o= constant) on the unit sphere.
Transcribed Image Text:Question 3, Let o(6, 6) = (cos 0 sin o, sin 0 sin o, cos o) be a parametrization of the unit sphere. Show that the curve defined for 0<t< by %3D y(t) = o (In cot( - ). makes a constant angle with the parallels (o= constant) on the unit sphere.
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