# Magic Hexagon: No Need To Memorize Trigonometry Formulae When You Can Understand Them! Find Out How! 382 We have two great models that define trigonometric hacks like no teacher in this world can teach you!

## 1. The Hexagon model:

### How to create a hexagon model?

Draw a hexagon and name each corner in a clockwise manner as Tan, Sin, Cos, Cot, Cosec, Sec. To check if you are correct: Note all the "co" functions are all on the right side.

You can now easily remember the formulae by follow "around the clock" to get all the "Quotient Identities":

Clockwise result:

tan(x) = sin(x) / cos(x)

sin(x) = cos(x) / cot(x)

cos(x) = cot(x) / csc(x)

cot(x) = csc(x) / sec(x)

csc(x) = sec(x) / tan(x)

sec(x) = tan(x) / sin(x)

Counter clockwise result:

cos(x) = sin(x) / tan(x)

sin(x) = tan(x) / sec(x)

tan(x) = sec(x) / csc(x)

sec(x) = csc(x) / cot(x)

csc(x) = cot(x) / cos(x)

cot(x) = cos(x) / sin(x)

### 2. The 4 Step Palm Model

Step 1: Assume your palm as a model

Step 2: Designate the values 0, 1, 2, 3 and 4 to the thumb along with your fingers

Step 3: The square root of each of these assigned values and divide each by 2

Step 4: Allocate angles 0?, 30?, 45?, 60? and 90? to the thumb along with your fingers

### A Career in Trigonometry and Applied Trigonometry:

To become a mathematician specialized in trigonometry one must complete their master?s degree in mathematics or statistics. A bachelor?s degree is the basic requirement for jobs in this field.

### Top Institutes in India:

National Institute of Technology - [NIT]

Maharaja Sayajirao University of Baroda - [MSU]

Indian Institute of Technology - [IIT]

P.S.G College of Technology - [PSGCT]

The University of Calcutta

Malaviya National Institute of Technology - [MNIT]

### Career options:

Trigonometry specialists can apply in architectural firms, engineering firms, space research firms or can become teachers or researchers.

### Best global research papers on applied trigonometry:

Teaching trigonometry using Empirical Modelling

Student responses to instruction in rational trigonometry

Research Article ?-Trigonometric and ?-Hyperbolic Functions in complex Domain