Friday, May 29, 2020

How To Remember Trigonometric Table In Easiest Way !!!

Trigonometric ratio table provided in this section will help you to find the values of trigonometric ratios for standard angles 0°, 30°, 45°, 60° and 90°.
The values of trigonometric ratios of standard angles are very important to solve many problems in trigonometry.
First of all let'see the values of Trigonometric ratio for standard angles.

Values of Trigonometric Ratios for Standard Angles

TRIGONOMETRIC TABLE
Now, let us see, how the above values of trigonometric ratios are determined for the standard angles. 
First, let us see the some simple Trigonometric formulas before see the Tricks to remember the Trigonometric table. 
TRIGONOMETRIC FORMULAS
Now, We will see the Trigonometric values for all Trigonometric functions one by one.

1. SINE

We remember the sine functions value as it followed by below figure. 

SINE FUNCTION'S VALUE

2.COS

For, Cos Function’s Trigonometric values we see the below figure.  So, According to figure cos function's value is opposite to sin function’s value.
For Example, Sin 0º = Cos 90º , Sin 30º = Cos 60º, …….
COS FUNCTION'S VALUE
3.TAN

As, We see the some Trigonometric formulas TAN is the ratio of SIN  and COS.

For Example,  tan 0º = sine 0º/ cos ,
              tan 30º = Sine 30º/cos 30º,  .......

As per below figure we can determine the TAN function's all angle value .


So, TAN function's value as per below figure.
TAN FUNCTION'S VALUE
4. COSEC
As, We see above  Cosec function is the reverse of the sine function.So, Cosec function's value is the reverse of the sine function's value.
For Example,  Cosec 0º = 1/sine 0º ,
                       Cosec 30º = 1/Sine 30º, …….
As per below figure we can determine the Cosec function's all angle value .

So, COSEC function's value as per below figure.

COSEC FUNCTION'S VALUE

5. SEC
As, We discuss above  sec function is the reverse of the cos function.So, Sec function's value is the reverse of the Cos function's value.

For Example,  sec 0º = 1/cos 0º , 
                      sec 30º = 1/cos 30º, …….
As per below figure we can determine the Sec function's all angle value .




So, SEC function's value as per below figure.

SEC FUNCTION'S VALUE

5. COT
As, We discuss above  cot function is the reverse of the tan function.So, cot function's value is the reverse of the tan function's value.
For Example,  cot 0º = 1/tan 0º , 
                       cot 30º = 1/tan 30º, …….
As per below figure we can determine the Sec function's all angle value .



So, COT function's value as per below figure.

COT FUNCTION'S VALUE

Finally, We get the following table. Which indicates the six trigonometric ratios of angles 0°, 30°, 45°, 60° and 90° are provided in the following table.