# Basic trigonometry ratios

Learn the basic trigonometry ratios in trigonometry chapter. As beginners one should learn these trigonometry ratios. A ratio of trigonometry plays a vital role in learning trigonometry chapter. Without knowing these ratios we can’t do any problem in trigonometry. What is a trigonometry?

Trigonometry is a branch of mathematics, where we are going to study about the relationship between sides and angles of right angled triangle.

## Trigonometry ratios table:

Let

Δ ABC be a right angled triangle. The side AB is opposite side to θ. The side BC is adjacent side to θAC is the hypotenuse in triangle ABC. sinθ opposite side to θ hypotenuse cosθ adjacent side to θ hypotenuse tanθ opposite side to θ adjacent side to θ cosecθ hypotenuseopposite side to θ secθ hypotenuseadjacent side to θ cotθ adjacent side to θ opposite side to θ

### Example on trigonometry ratios:

In a Δ ABC, AB = 3 cm and BC = 4 cm then find the values of all six trigonometric ratios.

Solution:

Given

In a  Δ ABC, AB = 3 cm and BC = 4 cm,

Then AC = 5 cm. (According to Pythagoras theorem).

sinθ​​ = ​​ opposite side to θ hypotenuse ​​ ​​​​ =  ​​ ​​​​ 35

cosθ​​ =​​ adjacent side to θ hypotenuse ​​ ​​​​ =  ​​​​ 45

tanθ​​ =​​ opposite side to θ  adjacent side to θ ​​ ​​​​ = ​​ 34

cosecθ​​ =​​ hypotenuse opposite side to θ ​​ ​​​​ =  ​​​​ 53

secθ= hypotenuse adjacent side to θ ​​​​ =  ​​​​ 54

cotθ​​ =​​ adjacent side to θ opposite side to θ ​​ ​​​​ =  ​​​​ 43 