Question

How did understand Trigonometry easily?

Answer 1

Trigonometry is the branch of mathematics that studies triangles and cycles. Trigonometric functions are used to describe properties of any angle, relationships in any triangle, and the graphs of any recurring cycle. Learning trigonometry will help you understand visualize and graph these relationships and cycles. If you combine studying on your own with staying focused in class, you’ll grasp the basic trigonometric concepts and likely start noticing cycles in the world around you.1

Define the parts of a triangle. At its core, trigonometry is the study of relationships present in triangles. A triangle has three sides and three angles. By definition, the sum of angles for any triangle is 180 degrees. You should familiarize yourself with triangles and triangle terminology to succeed in trigonometry. Some common triangle terms are:[1]

Hypotenuse ― The longest side of a right triangle.

Obtuse ― An angle that is greater than 90 degrees.

Acute ― An angle less than 90 degrees.
2

Learn to make unit circle. A unit circle allows you to scale any triangle so that the hypotenuse is equal to one. This is helpful because it relates trigonometric functions, like sine and cosine to percents. Once you understand the unit circle, you can use trigonometric values for a given angle to answer questions about triangles with those angles.[2]

Example 1: The sine of 30 degrees is 0.50. This means that the side opposite a 30 degree angle is exactly one half the length of the hypotenuse.

Example 2: This relationship could be used to find the length of the hypotenuse in a triangle that has a 30 degree angle with the side opposite that angle measuring 7 inches. The hypotenuse would be equal to 14 inches.

3

Know the trigonometric functions.There are six functions that are central to understanding trigonometry. Together, they define the relationships within a triangle, and allow you to understand the unique properties of any triangle. These six functions are:[3]

Sine (Sin)

Cosine (Cos)

Tangent (Tan)

Secant (Sec)

Cosecant (Csc)

Cotangent (Cot)

4

Conceptualize relationships. One of the most important things to understand about trigonometry is that all of the functions are interrelated. While values for Sine, Cosine, Tangent, etc. all have their own uses, they are most useful because of the relationships that exist between them. The unit circle scales these relationships down so that they are easily understood. Once you understand the unit circle, you can use the relationships it describes to model other problems.[4]

Answer 2

I think it might be helpfull to you