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Trigonometry is one of the most important chapters of Quantitative Aptitude which is widely asked in all SSC Exams, UPSC Exams, Railways Exams, etc. Here, at Smartkeeda.com we will discuss about some Important Notes and Short Tricks based on Trigonometric Identities. These notes and short tricks can be very helpful in your next upcoming competitive exams.

Introduction to Trigonometry:

Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

More specifically, trigonometry is all 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.

Some important terms for right angled triangles:
 

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

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

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

IV. The side opposite to θ is called the opposite.

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

Introduction of 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:

I. Sine = Sin = Sin θ = Opposite/hypotenuse

II. Cosine = Cos = Cos θ = Adjacent/hypotenuse

III. Tangent = Tan = Tan θ = Opposite/adjacent

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