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@Study Cloud
Published on Dec. 2nd 2019
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.
Create a table consisting of one column of Angles(horizontally) and one row of Ratios(vertically).
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 |
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 |
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 |
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 |
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 |
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.
I know this trick on 9th Std
Ohhhhhh great trick
I knew this since the last year tell latest method !! Which one can use in daily life too.
Very best
Nice trick
Ydhtgidp
Great
Thank you sir I like this
vry nice trick👌
7uwu
It must be useful
Great trick sir
Thanks for the trick
Thank you sir I really need this trick
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