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We live on a sphere. Calculating 'shortest' distance on the sphere is not a simple trig problem, you may need spherical trig.

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Q: What are the importance of spherical trigonometry in mathematics?
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Related questions

What is the importance of spherical trigonometry?

For navigational purposes


What was Pauline Sperry contribution to mathematics?

spherical and plane trigonometry? :p


How many kinds of trigonometry are there in mathematics?

Two types of trigonometry are recognized: planar and spherical. Planar is 2-dimensional, while spherical is 3-dimensional. Though these are different fields, spherical trigonometry is really just an application of planar trigonometry in several planes.


What is the importance of plane and spherical trigonometry?

it helps human to servie


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.


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 trigonometry in navigation?

Navigation takes place on the surface of a sphere, and it involves angles and distances. Spherical trigonometry was developed from plane trigonometry so that navigators could find their away over the Earth's surface.


What has the author Walter W Hart written?

Walter W. Hart has written: 'A second course in algebra' -- subject(s): Algebra 'New first algebra' -- subject(s): Algebra 'Progressive high school algebra' -- subject(s): Algebra, Lending library 'Plane trigonometry, solid geometry and spherical trigonometry' -- subject(s): Geometry, Solid, Solid Geometry, Trigonometry 'Solid geometry and spherical trigonometry' -- subject(s): Geometry, Solid, Solid Geometry, Spherical trigonometry 'Progressive solid geometry' -- subject(s): Geometry, Solid, Solid Geometry 'Junior high school mathematics' -- subject(s): Mathematics, Problems, exercises 'Plane geometry' -- subject(s): Geometry, Plane, Plane Geometry 'Modern junior mathematics' -- subject(s): Mathematics, Problems, exercises 'Mathematics in daily use' -- subject(s): Mathematics 'Socialized general mathematics' -- subject(s): Mathematics 'Progressive first-[second] algebra' -- subject(s): Algebra


What is the meaning of spherical triangle?

Spherical trigonometry is a branch of spherical geometry, which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in astronomy and earth-surface and orbital and space navigation.


What is the contribution of menelaus to trigonometry?

He defined the spherical triangle