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Trigonometry: Concept, Solved Questions, Identities

Etymologically the word trigonometry is made up of two words Trigonon + metron
Trigonon means triangle while metron refers to measurement therefore,Trigonometry is the measurement of triangle.
Trigonometry is certainly crucial when it comes to finding angles and sides in a triangular shape.In real world scenarios, From Earth to space trigonometry has a wide range of applications.
Let's start the Trigonometry with an example so that you have More clarity over how it solves real world problems.

Example 
CASE 1 : Suppose you are standing 50 m away from the base of a 500 m tall tower.you and the base of tower are  on the same Plane. Now you want to find the length of the rope that connects the top of the tower with the point point you are standing at.
(The angle can be measured that the rope makes with the ground)

CASE 2:  Going with the above example ahead Suppose the length of the rope that connects top of the tower with the point you are standing and your distance from the base of tower is known then you can easily find the length of the tower.
Both the cases discussed above are applications of trigonometry. You will be able to solve them once you finish with the fundamentals.

Basics of Trigonometry 

There are six trigonometric ratios namely SinA, cosA , tanA , Cosec ,secA and cotA
We will be taking a right angle triangle to define the ratios.

SinA =  (Side oposite to angle A)/Hypotenuse 
SinA = BC/AC

CosA = ( Side adjacent to A)/ Hypotenuse 
CosA = AB/AC

Tan A =  (Side oposite to angle A)/ ( Side adjacent to A)
Tan A = BC/AB










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