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Magic Hexagon: No Need To Memorize Trigonometry Formulae When You Can Understand Them! Find Out How!

purpose of a hexagon model

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 0⁰, 30⁰, 45⁰, 60⁰ and 90⁰ 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

https://warwick.ac.uk/fac/sci/dcs/research/em/publications/web-em/04/trigonometry.pdf

Student responses to instruction in rational trigonometry

http://sigmaa.maa.org/rume/crume2016/Papers/RUME_19_paper_6.pdf

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

http://downloads.hindawi.com/journals/aaa/2016/3249439.pdf

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