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”:
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]
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