 # Facts about what makes Trigonometry both fun and useful

Trigonometry is a fascinating subject. Everything from the trigonometric ratio tables with their irrational numbers to the history of the origin of this branch of Mathematics is surrounded by interesting facts. Right since its inception, trigonometry caught the imagination of mathematicians and philosophers alike. Its concepts and ratio tables could be used to measure the sizes and distances of astronomical and Hellenistic bodies, as well as structures on the earth. Projections for upcoming structures could be made with great accuracy thanks to the simple trigonometry formulae. Although the ancient studies of trigonometry are credited to the Greeks, Indian Mathematicians of yore such as Aryabhatta are known to have studied the ‘sine’, one of the primary trigonometric ratios.

### Here are some facts about trigonometry:

#### Aryabhatta proposed the first table of sines in his work

In the Aryabhatiya, Aryabhatta made a table of sines in the fifth century. The work also includes the rules for making up other Trigonometry tables of sines and sine differences.  It is remarkable that his entire work follows the rules of Ganitha Sastra, or Mathematics, as well as those of Sanskrit Grammar.

#### Trigonometry linked Geometry to practical ends

The simplest example of this is the Pythagorean theorem. Using the straightforward concept of a right-angled triangle, the distance between two opposite ends of the hypotenuse could be computed easily. More complex trigonometric ratios such as the tangent, cotangent, and secant could also be calculated and unknown angles can be determined. Because it links the practical side of things to the more arcane concepts of Geometry, Trigonometry is considered an offshoot of Geometry.

#### How to picture trigonometric formulae

Although trigonometric functions appear complex, irrational, and tough to visualize, students will make a lot of progress by considering them as triangles within circles and triangles within spheres. These are namely visualized as planar or spherical figures. This is exactly how the Greek astronomer, Hipparchus of Nicaea, visualized the functions to arrive at the basics of trigonometry ratios.

#### Trigonometry got mankind massive answers

Before the advent of computers or even calculators, trigonometric formulae simplified the calculation of large distances and massive structures.