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What is trigonometry used for?

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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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Sir Isaac Newton receives recognition for his contribution to the sciences, particularly astronomy and physics as well as introducing thoughts and theories in the field of mathematics. Sir Isaac Newton was born in 1643 in England to a prominent farming family. Newton excelled in academics, especially the fields of math and science, and ultimately enrolled at Cambridge University in 1661 to study math, physics and astronomy.

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Because physical science is a branch of the natural sciences that studies non-living systems, a good physical science study guide answer key should include answers to questions about basic concepts from chemistry, astronomy, physics and the earth sciences. Physical science is a science opposite to the life sciences.

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The sciences are more commonly divided into three main groups, or branches: life science, which includes the study of biological life; physical science, which includes physics and chemistry; and earth science, which concerns itself with geology, meteorology and astronomy. There is some overlap between these branches.