Showing posts with label How to trigonometry. Show all posts
Showing posts with label How to trigonometry. Show all posts

How to remember trigonometry table in easy way

How to remember trigonometry table in easy way?

Today, we are telling you How to remember trigonometry table in easy way? We have already learnt How to learn trigonometry formulas? The remember of trigonometry table is very easy if we have learn the trigonometry formulas. Because the table of trigonometry are depend upon the trigonometry formulas.The all function of trigonometry are depend upon each-other by these the remember of trigonometry table are very easy. We can remember complete table by one row. We will tell you few step, by these step you can remember the trigonometry table in easy way:-

Write the all trigonometry function in first column (First step):-

trigonometry-function
How to remember trigonometry table in easy way
we will write all trigonometry function in first column except first box such as sin, cos, tan, cosec, sec, cot as shown in the picture above. The all trigonometry function are write in this sequence for easy remember trigonometry table. We can also write in other sequence but remember of table are very difficult.

Write all  angle in first row (Second Step):-

trigonometry-angle
We will write all angle in first row such as 0, 30, 45, 60, 90 as shown in the above picture. All angle are write in given sequence. We will write these angle in first row except first box. By these angle we can determine value of other angle.






How to remember sin value (Third Step):-

how-to-write-trigonometry-tableWe will determine all angle value of sin function as shown in the above pic. We will determine sin value on 0, 30, 45, 60, 90 angle. For determine the value of sin angle we will divide of 0 to 4 by 4. 
First of all we will determine value on 0 degree. For this we will divide of 0 by 4 with all root such as
It means the value of sin on 0 degree is 0.
For determine the value of sin on 30 degree we will divide of 1 by 4 with all root such as
It means the value of sin on 30 degree is 1/2.
For determine the value of sin on 45 degree we will divide of 2 by 4 with all root such as
  
It means the value of sin on 45 degree is 1/2.
For determine the value of sin on 60 degree we will divide of 3 by 4 with all root such as
  
It means the value of sin on 60 degree is 3/2.
For determine the value of sin on 90 degree we will divide of 4 by 4 with all root such as
  
It means the value of sin on 90 degree is 1.
The all above points are used for determine the value of sin.

How to remember cos value (Forth Step):-

How-to-remember-trigonometry-table-in-easy-way
We have learnt the value of sin on all angle in above step.as shown in the picture above. In this step we will learn the cos value which are very easy to learn after sin value. The cos value are opposite angle of sin angle it means which value of sin on 0 degree angle the same value is cos on 90 degree angle. It is divided by 4 in opposite sequence of sin.
First of all we will determine cos value on 0 degree. For this we will divide of 4 by 4 with all root such as

It means the value of cos on 0 degree is 1.
For determine the value of cos on 30 degree we will divide of 3 by 4 with all root such as

It means the value of cos on 30 degree is 3/2.
For determine the value of cos on 45 degree we will divide of 2 by 4 with all root such as

It means the value of cos on 45 degree is 1/2.
For determine the value of cos on 60 degree we will divide of 1 by 4 with all root such as

It means the value of cos on 60 degree is 1/2.
For determine the value of cos on 90 degree we will divide of 0 by 4 with all root such as
  
It means the value of cos on 90 degree is 0.
The all above points are used for determine the value of cos. In above points the all value of cos is opposite of sin value.

How to remember tan value (Fifth Step):-

how-to-write-trigonometry-table
We have already learnt the all formulas of trigonometry.as shown in the picture above. In which we have read the formula of tan. tan=sin/cos. With the help of sin, cos we will determine the value of tan. tan is equal to sin divide by cos so for determine the value of tan we will use this formula.
For determine the value of tan on 0 degree we will divide the value of sin on 0 degree by the value of cos on 0 degree such as the value of sin on 0 degree is 0 and the value of cos on 0 degree is 1. We will divide both value. tan0=0/1=0.
For determine the value of tan on 30 degree we will divide the value of sin on 30 degree by the value of cos on 30 degree such as the value of sin on 30 degree is 1/2 and the value of cos on 30 degree is 3/2. We will divide both value. tan30=
For determine the value of tan on 45 degree we will divide the value of sin on 45 degree by the value of cos on 45 degree such as the value of sin on 45 degree is 1/2 and the value of cos on 45 degree is 1/2. We will divide both value. tan45=

For determine the value of tan on 60 degree we will divide the value of sin on 60 degree by the value of cos on 60 degree such as the value of sin on 60 degree is 3/2 and the value of cos on 60 degree is 1/2. We will divide both value. tan60=

For determine the value of tan on 90 degree we will divide the value of sin on 90 degree by the value of cos on 90 degree such as the value of sin on 90 degree is 1 and the value of cos on 90 degree is 0. We will divide both value. tan90=1/0=infinitive.

How to remember cosec value (Sixth Step):-

How-to-remember-trigonometry-table
We have learnt the formula of cosec. cosec is opposite of sin, cosec=1/sin. We will remember the value of cosec by the all opposite value of sin.as shown in the picture above.
We will determine the value of cosec on 0 degree. It is opposite of sin on 0 degree the value of sin on 0 degree is 0 then its opposite is 1/0 then the value of cosec0=1/0=infinitive.  
We will determine the value of cosec on 30 degree. It is opposite of sin on 30 degree the value of sin on 30 degree is 1/2 then its opposite is 2/1 then the value of cosec30=2.
We will determine the value of cosec on 45 degree. It is opposite of sin on 45 degree the value of sin on 45 degree is 1/2 then its opposite is 2 then the value of cosec45=

We will determine the value of cosec on 60 degree. It is opposite of sin on 60 degree the value of sin on 60 degree is 3/2 then its opposite is 2/3 then the value of cosec60=

We will determine the value of cosec on 90 degree. It is opposite of sin on 90 degree the value of sin on 90 degree is 1 then its opposite is 1/1 then the value of cosec90=1.

 How to remember sec value (Seventh Step):- 

trigonometry-table
We have learnt the formula of sec. sec is opposite of cos, sec=1/cos. We will remember the value of sec by the all opposite value of cos.as shown in the picture above.
We will determine the value of sec on 0 degree. It is opposite of cos on 0 degree the value of cos on 0 degree is 1 then its opposite is 1/1 then the value of sec0=1/1=1.  
We will determine the value of sec on 30 degree. It is opposite of cos on 30 degree the value of cos on 30 degree is 3/2 then its opposite is 2/3 then the value of sec30=

We will determine the value of sec on 45 degree. It is opposite of cos on 45 degree the value of cos on 45 degree is 1/2 then its opposite is 2 then the value of sec45=

We will determine the value of sec on 60 degree. It is opposite of cos on 60 degree the value of cos on 60 degree is 1/2 then its opposite is 2/1 then the value of sec60=2.
We will determine the value of sec on 90 degree. It is opposite of cos on 90 degree the value of cos on 90 degree is 0 then its opposite is 1/0 then the value of sec90=infinitive.

 How to remember cot value (Eighth Step):- 

How-to-remember-trigonometry-table
We have learnt the formula of cot. cot is opposite of tan, cot=1/tan. We will remember the value of cot by the all opposite value of tan.as shown in the picture above.
We will determine the value of cot on 0 degree. It is opposite of tan on 0 degree the value of tan on 0 degree is 0 then its opposite is 1/0 then the value of cot0=1/0=infinitive.  
We will determine the value of cot on 30 degree. It is opposite of tan on 30 degree the value of tan on 30 degree is 1/3 then its opposite is 3/1 then the value of cot30=
3.
We will determine the value of cot on 45 degree. It is opposite of tan on 45 degree the value of tan on 45 degree is 1 then its opposite is 1 then the value of cot45=1.
We will determine the value of cot on 60 degree. It is opposite of tan on 60 degree the value of tan on 60 degree is 3 then its opposite is 1/3 then the value of cot60=

We will determine the value of cot on 90 degree. It is opposite of tan on 90 degree the value of tan on 90 degree is infinitive then its opposite is 0/1 then the value of cot90=0.
In all opposite angle the one value is same on one angle.

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How to learn trigonometry formulas in easy way and where its use

How to learn trigonometry formulas in easy way and where its use?

Today,we are telling you How to learn trigonometry formulas in easy way and where its use? In the trigonometry, few terms are used i.e easy to learn by "Right angle triangle". The trigonometry is having six function that is based on the "Right angle triangle". The right angle triangle is having three sides:-
1. Base (Horizontal line in "Right angle triangle" )
2. Opposite (Vertical line in"Right angle triangle" or opposite of 90 degree )
3. Hypotenuse (In front of 90 degree angle or long line in "Right angle triangle" )
We will tell you a formula, by these formula you can learn all formula in easy way.
We will take B, O, H i.e Base, Opposite, Hypotenuse respectively. We will learn few step for learn trigonometry.
In the trigonometry we will study about sine, cosine, tangent, cosecant, secant, cotangent. We will learn these function in given order.For first three function we will learn this formula:-
-How to learn trigonometry table in easy way?

Write formula based on  "Right angle triangle" (First Step):-

We will learn:- OBO/HHB
Sine= O/H, It means that Opposite divide by Hypotenuse. it is value of sine.
Cosine=B/H  It means that Base divide by Hypotenuse. it is value of cosine.
Tangent=O/B  It means that Opposite divide by Base. it is value of tangent.
Remain three function are opposite of described above three function. we will study remain three function:-
We will learn:- HHB/OBO
Cosecant= H/O, It means that Hypotenuse divide by Opposite. it is value of cosecant. 
Secant= H/B, It means that Hypotenuse divide by Base. it is value of secant.
Cotangent= B/O, It means that Base divide by Opposite. it is value of cotangent.
As we have study about sine, cosine, tangent, cosecant, secant, cotangent. Now we will study conversion of these terms:-

Conversion of term (Second Step):-

In first step, we have learn that the last three terms are opposite of first three term and first are opposite of second term. In the conversion, the second term are also opposite of first three term and first are opposite of second term. 

Study some other formulas which are always true (Third step):-

In this step, we will  learn some other formulas which are always true. Mainly we have three formulas, but we can create our own formula according to question/requirement.

Study some different formulas of above formulas:-

In this step, we will learn some different formulas that are different of above formulas. These formulas are used when given angle with function.

Where use of above formulas:-

conversion of term:-

Study some other formulas which are always true (Third step):-

Study some different formulas of above formulas:-

       



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