Tricks to remember the Trigonometric Table.

Introduction to Trigonometry


Trigonometry, the chapter which never got a place in your mind. Hearing it was such an incident when many either had stomach pain or headache to get leave. It was such a difficult subject as there was no appropriate teaching on it. But it will be easy today as I will explain to you in such a way that you will start loving it.


Easy Trigonometry tricks to remember the trigonometric table

Creating a rough table can help you memorize it easily and quickly. We will go step by step so that it becomes easy to understand.


Trigonometry Step 1

Create a table consisting of one column of Angles(horizontally) and one row of Ratios(vertically).


Trigonometry Step 2

Write the increasing of angles in the Angles’ column horizontally which goes 0o, 30o, 45o, 60o, and 90o. Write the ratios in the Ratios’ row vertically which goes sinΘ, cosΘ, tanΘ, cosecΘ, secΘ and cotΘ.



Angles

0o

30o

45o

600

90o

Ratios







Sin







Cos







Tan







Cosec







Sec







Cot







​​​​​​​


Trigonometry Step 3

In the sinΘ row, under each angle, write numbers from 0 to 4 each. Divide all the numbers by the last number i.e 4. Which after simplifying gives 0, ¼, ½, ¾ and 1. Take the square root of the values obtained which after simplifying goes to 0, ½, 1/√2, √3/2 and 1.



Angles

0o

30o

45o

600

90o

Ratios







SinΘ



0


½


1/√2


√3/2


1


Trigonometry Step 4

In the cosΘ row, reverse all the values of sinΘ.


Angles

0o

30o

45o

600

90o

Ratios







SinΘ


0

½

1/√2

√3/2

1

CosΘ


1

√3/2

1/√2

½

0


Trigonometry Step 5

As the identity states, TanΘ=SinΘ/CosΘ. Therefore, divide values of SinΘ by CosΘ concerning their degrees.


Angles

0o

30o

45o

600

90o

Ratios







SinΘ


0

½

1/√2

√3/2

1

CosΘ


1

√3/2

1/√2

½

0

TanΘ


0

1/√3

1

√3

Not defined


Trigonometry Step 6

As the identity states, CosecΘ=1/SinΘ. Which means that CosecΘ is reciprocal of SinΘ.


Angles

0o

30o

45o

600

90o

Ratios







SinΘ


0

½

1/√2

√3/2

1

CosΘ


1

√3/2

1/√2

½

0

TanΘ


0

1/√3

1

√3

Not defined

CosecΘ


Not defined

2

√2

2/√3

1


Trigonometry Step 7

As the identities state, SecΘ=1/CosΘ and CotΘ=1/TanΘ, which means SecΘ is reciprocal of CosΘ and CotΘ are reciprocal of TanΘ respectively.



Angles

0o

30o

45o

600

90o

Ratios







SinΘ


0

½

1/√2

√3/2

1

CosΘ


1

√3/2

1/√2

½

0

TanΘ


0

1/√3

1

√3

Not defined

CosecΘ


Not defined

2

√2

2/√3

1

SecΘ


1

2/√3

√2

2

Not defined

CotΘ


Not defined

√3

1

1/√3

Not defined


​​​​​​​​​​​​​​​​​​​​​This trick will help you in learning not only the Trigonometric table but also Trigonometric identity at the same time.


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11 Comment
  • nilamshukla2@gmail.com 2 weeks, 2 days

    Nice trick

  • vipoo1527@gmail.com 1 month

    Ydhtgidp

  • bhoyerajeah2@gmail.com 2 months, 2 weeks

    Great

  • vinu.tanawde13@gmail.com 2 months, 3 weeks

    Thank you sir I like this

  • Babu02659@gmaik.com 3 months, 1 week

    vry nice trick👌

  • keshavporje79@gmail.com 3 months, 2 weeks

    7uwu

  • pranalinaik1114@gmail.com 4 months, 1 week

    Wonderful trick

  • aniketdeode@gmail.com 4 months, 2 weeks

    It must be useful

  • mustakeemimampatel7778@gmail.com 4 months, 3 weeks

    Great trick sir

  • Omkarpawar46071@gmail.com 5 months

    Thanks for the trick

  • aryayoga306@gmail.com 6 months

    Thank you sir I really need this trick