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


Let o(0, ø) = (cos 0 sin ø, sin 6 sin ø, cos ø) be a parametrization of the unit<br>sphere. Show that the curve defined for 0 <t < by<br>%3D<br>(e) = o (In cot(-).-1).<br>makes a constant angle with the parallels (ø = constant) on the unit sphere.<br>

Extracted text: Let o(0, ø) = (cos 0 sin ø, sin 6 sin ø, cos ø) be a parametrization of the unit sphere. Show that the curve defined for 0 < by="" %3d="" (e)="o" (in="" cot(-).-1).="" makes="" a="" constant="" angle="" with="" the="" parallels="" (ø="constant)" on="" the="" unit="">

Jun 04, 2022
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