Q: What is the importance of spherical trigonometry?

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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.

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

plane trigonometry 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.

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it helps human to servie

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.

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

plane trigonometry 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.

The earth, which we live on, is approximately a sphere. It is important, therefore, to know spherical trigonometry.

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.

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.

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.

He defined the spherical triangle

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Plane trigonometry is trigonometry carried out in (on) a plane. This could be contrasted with spherical trigonometry, which is trigonometry carried out on the surface of a sphere. Certainly there are some other more complex forms of trig.