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for any spherical triangle on any sphere there associated another triangle called the polar triangle associated with this spherical triangle with the property that the sum of any angle (or side) of one of these two triangles and the length of the side (and the angle)of the other triangle is alway equil to 180 degrees
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LaoA polar triangle in spherical trigonometry is a triangle that has one vertex at either of the Earth's poles. Spherical trigonometry deals with measuring angles and sides in triangles on the surface of a sphere, rather than in a flat plane. Polar triangles can be used to determine the distance between two points on the Earth's surface when the latitudes and longitudes of those points are known.
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What is the contribution of menelaus to trigonometry?
He defined the spherical triangle
What are the 2 branches of trigonometry?
plane trigonometry spherical trigonometry
What is the difference between plane trigonometry and spherical trigonometry?
Trigonometry is the study of plane and spherical triangles. Plane trigonometry deals with 2 Dimensional triangles like the ones you would draw on a piece of paper. But, spherical trigonometry deals with circles and 3 Dimensional triangles. Plane trigonometry uses different numbers and equations than spherical trigonometry. There's plane trigonometry, where you work with triangles on a flat surface, then there's spherical trigonometry, where you work with triangles on a sphere.
Why does spherical trigonometry important?
The earth, which we live on, is approximately a sphere. It is important, therefore, to know spherical trigonometry.
What is the importance of spherical trigonometry in math?
Historically, it is because we live on a planet which is approximately spherical. 2-dimensional trigonometry was adequate for relatively small shapes where the curvature of the earth had negligible effect. For larger shapes the spherical nature of the earth was important and therefore, so was spherical trigonometry.
