# Applications of trigonometry in astronomy

## How Is Trigonometry Used in Astronomy? | ijelowytomug.cf

Trigonometry is the branch of mathematics that is concerned with the study of angle measurements. Specifically, trigonometry involves the study of the quantities of angles, and how those impact other measurements and quantities involved in the equation at hand. Given two angles of a triangle and knowing what we do about the values of all three angles as a whole -- which is largely a study of geometry -- trigonometry is the science used to determine the measurement and other values associated with that third angle as well as the three sides of the triangle being studied.

Trigonometry has many real-life applications and one of the lesser-known but most important of those is the way in which the study is used by astronauts. In calculating, for example, the distance from Earth to a particular star, astronauts may very well know enough to apply trigonometry to solve an unknown quantity.

### The Study of Distances

For example, if the distance between two stars is known, or the distance from one star to the Earth but not the distance to a third, the arrangement can be treated as a triangle, and trigonometry can be used to calculate the missing distance. Astronauts may also use triangular calculations — and, thus, trigonometry — to calculate the speed at which they, or a particular celestial body, are moving.

2. Applications of Trigonometry.
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For example, if a body appears to be moving at a particular speed in relation to an object whose distance from the body is known, then the distance that the astronaut is from that body can be calculated. The process is relatively simple, and involves simply calculating the unknown distance in relation to the speed at which the astronauts are traveling. This can help determine how far away an object is in relation to any particular speed, and how long it would take to reach it while traveling at that speed.

Should a star appear to be traveling at a fixed rate in relation to the Earth or another known object, astronauts may use surrounding objects whose distance and speed are known to create the equations needed, in trigonometry, to calculate the unknown — here, the orbit speed and trajectory of that unknown body.

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