Education

# How to Learn Trigonometry with Ease?

Trigonometry is a branch of mathematics that deals with the study of the relationship between sides and angles of a triangle. It can be found throughout geometry, as it contains the collection of a triangle when every straight-sided shape is broken into pieces. All the functions of trigonometry deal with the right-angled triangle. Thus by using the Pythagorean theorem, trigonometric functions are obtained. The three important basic functions of trigonometry are sine, cosine and tangent functions

. With the help of sine and cosine function, trigonometry is used to express the light and sound waves. It is also used in a satellite system, to create maps, and to calculate the height of the ocean waves. Some of the important terms of the right angle triangle to find the trigonometric ratios are:

Hypotenuse Side - The longest side which is opposite to the right angle
Opposite Side - The side opposite to the some specific angle
Adjacent Side - The side next to some specific angle and which is not the hypotenuse.

From these three sides, the three functions are defined as

The sine function is the ratio of the length of the opposite side to the length of the hypotenuse side
The cosine function is the ratio of the length of the adjacent side to the length of the hypotenuse side
The tangent function is the ratio of the length of the opposite side to the length of the adjacent side.
You can easily remember the functions of sine, cos and tan as SOH CAH TOA.

With the help of these functions, the other three functions are derived such as cosecant, secant and cotangent which are the inverse functions of sine, cosine and tangent functions respectively.  Also, it is easy to get the trigonometric identities from the derivatives of the functions. Using differentiation formulas, the derivatives of the trig functions can be obtained. All these six functions are differentiable and continuous in their domain. Derivatives play an important role in calculus. In order to apply calculus to trigonometry, it is essential to find the fundamental limit of the trig functions.

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