Trigonometry
Trigonometry is the domain of mathematics that revolves around the connection between the angles and sides of a rightangled triangle. The word Trigonometry is made up of ‘Trigonon,’ meaning triangle, and ‘Metron,’ meaning measure. Trigonometry is majorly about rightangled triangles, where one internal angle is 90 degrees. Through it, you understand how to determine missing lengths of the sides or angles in a rightangle triangle.
The Basic Functions in Trigonometry
To understand this subject, you must be fully familiar with its basics. These deal with problems related to angles and their measurements. There are three primary functions.
 Sin
 Cosine
 Tangent
Using these functions, you can decipher other functions, such as Secant, Cotangent, and Cosecant. To understand trigonometric concepts, you should know about these functions and their formulas.
Let’s start with the sides of a rightangled triangle. This triangle has the following sides:
 Perpendicular – This is the side directly opposite to the angle θ.
 Base – It’s the side adjacent to the angle θ.
 Hypotenuse – . This side lies opposite to the right angle.
The Formulas of Trigonometric Functions
If you want to learn Trigonometry deeply, you must learn about the formulas of the basic functions. Trigonometric formulas demonstrate the relations between Trigonometric ratios and the angles for various quadrants.
Suppose a rightangled triangle has θ as the angle. In this case
 Sin θ equals perpendicular/hypotenuse.
 Tan θ equals perpendicular/base.
 Cos θ equals base/hypotenuse.
The functions sec, cot, and cosec depend on cos, tan, and sin, respectively. So,

cot θ equals 1/tan θ

cosec θ equals 1/sin θ

sec θ equals 1/cos θ
Now, we can calculate cot θ, sec θ, and cosec θ functions with the following formulas.

Cot θ equals base/perpendicular.

Sec θ equals hypotenuse/base.

Cosec θ equals hypotenuse/perpendicular.
Angles in Trigonometry
The most commonly used angles in trigonometric problems are 90 degrees, 60 degrees, 45 degrees, 30 degrees, and 0 degrees. Besides these, other important angles are 360 degrees, 270 degrees, and 180 degrees. To determine these angles, you need to create a rightangled triangle. Here, one acute angle is the corresponding Trigonometry angle. The angles are specific to the ratios or functions related to it.

θ equals sin1, which is perpendicular/hypotenuse

θ equals cos1, which is base/hypotenuse

θ equals tan1, which is perpendicular/base
Trigonometry is a crucial mathematical relationship. It’s all about triangles, which are one of the simplest forms. However, their mathematics is of much significance, particularly where there’s a need to determine precise distance measurements.
References:
Skills you need: Introduction of Trigonometry
Cue math: Trigonometry
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