Question

explain trigonometry​

Answer 1

Answer:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

Step-by-step explanation:

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Answer 2

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Trigonometry, as the name might suggest, is all about triangles.

More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing sides or angles in a triangle.

There is more about triangles on our page on Polygons should you need to brush up on the basics before you read further here.

Right-Angled Triangles: A Reminder

A right-angled triangle has a single right angle. By definition, that means that all sides cannot be the same length. A typical right-angled triangle is shown below.

Important Terms for Right-Angled Triangles

Right-angled triangle showing the Opposite, Adjacent and Hypotenuse

The right angle is indicated by the little box in the corner.

The other angle that we (usually) know is indicated by θ.

The side opposite the right angle, which is the longest side, is called the hypotenuse.

The side opposite θ is called the opposite.

The side next to θ which is not the hypotenuse is called the adjacent.

Introducing Sine, Cosine and Tangent

There are three basic functions in trigonometry, each of which is one side of a right-angled triangle divided by another.

The three functions are:

Name Abbreviation Relationship to sides of the triangle

Sine Sin Sin (θ) = Opposite/hypotenuse

Cosine Cos Cos (θ) = Adjacent/hypotenuse

Tangent Tan Tan (θ) = Opposite/adjacent

Calculating Sine, Cosine and Tangent

You may find it helpful to remember Sine, Cosine and Tangent as SOH CAH TOA.