What is trigonometry used for?
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Q:

What is trigonometry used for?

A:

Quick Answer

Trigonometry is used in many fields of applied and practical sciences, such as astronomy, geography, physics and engineering. Trigonometry is used in astronomy to determine the distance from Earth to various nearby stars by observing the parallax shift with Earth's orbit around the Sun as a baseline.

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Trigonometry is useful in geography for surveying prominent landforms and projecting physical features onto maps and globes. In physics, trigonometry is one of the most heavily used mathematical disciplines. It is used to calculate the refractive index of glass, which permits the manufacture of telescopes, microscopes and fiber optic cables, and to better understand physical spaces. Engineers make practical use of trigonometry when determining the angles and design of support structures. A grasp of trigonometry gives engineers a theoretical understanding of distances, load capacities and lines of force. Chemical engineers routinely use trigonometry to predict the natural structure and consequent behavior of the molecules they work with. Beyond these specific applications, trigonometry has a use for nearly any theoretical or practical application that entails the use of space, volume or distance. It also has implications within theoretical mathematics because the way a hypothetical curve arcs through n-space can be described with almost the same equation as the arc of a coastline on a map.

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Related Questions

  • Q:

    How is trigonometry used in aviation?

    A:

    Trigonometry is used in aviation extensively, both in the calculations performed by the machines and computers used by the pilots, and by pilots performing quick rudimentary calculations and estimates themselves. Trigonometry and trigonometric functions are used to estimate distances and landing patterns and navigate around obstacles.

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  • Q:

    How is trigonometry used in astronomy?

    A:

    Trigonometry is used to measure the distance to stars in the solar system, and the motion of nearby stars compared to more distant stars. The method of measuring distance in space is called trigonometric parallax.

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  • Q:

    When was trigonometry invented?

    A:

    Ancient Egyptian and Greek philosophers used an early form of trigonometry that involved calculating chords to obtain the angles of a triangle. This method was effective for Euclidean plane geometry, but the heart of trigonometry, the sine, was developed in India in the sixth century.

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  • Q:

    What are the branches of trigonometry?

    A:

    The two main branches of trigonometry are plane trigonometry and spherical geometry. Trigonometry in general deals with the study of the relationships involving the lengths of angles and triangles.

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