REMEMBER IMPORTANT TRIGONOMETRIC RATIOS

Most of the mathematics students find it very difficult to remember trigonometric ratios. Although calculator is allowed in exams now a days, but What to do if you have no calculator on exam day???

Do not worry I will tell you that how can you easily remember important trigonometric ratios. It is very easy and five simple steps to quickly draw a table with trigonometric ratios. Let’s start step by step.

Step 1: First of all make a table with 6 columns and 9 rows, and write important angles, like this. Symbol (θ) is known as theta, the angle.

Step 2: Now write numbers from 0 to 4 in first row of sine ratio and from 4 to 0 in first row of cosine ratio. Like this

Step 3: Now divide all numbers with “4” in the next row.

Step 4: Take Square root of these fractions.

Step 5: In the last step just solve the fractions and you fill find the exact answers. You can check it from your calculators also.

Follow these simple & easy five steps and you will never forget these ratios in your life.

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QUICK MULTIPLICATION RULE

Rule # 1 (Multiplication of numbers ending with zeroes)

Most of the users think that calculations are very difficult. But the reality is that mathematics is not difficult, calculations are very easy. You just need to remember some steps, some tips & some techniques.

In this blog I will tell you one of the easy method of multiplying numbers. Especially the numbers ending with zeroes. For example: Multiply 20 with 30, Multiple 450 with 600, Multiple 10100 with 2000, etc. Let’s start with first example.

Example 1: Multiply 20 with 30

20	X	30
Step 1:	Multiple Non-zero numbers on both sides
2	X	3
2 x 3 = 6
Step 2:	Count ending zeroes on both sides
There are one zero at the end of 2 and one zero at the end of 3. So there are total 2 zeroes. Put these two zeroes at the end of “6”.
Result:	600

Similarly you can multiply any number ending with zeroes. Let’s try second example.

Example 2: Multiply 450 with 600

450	X	600
Step 1:	Multiple Non-zero numbers on both sides
45	X	6
45 x 6 = 270
Step 2:	Count ending zeroes on both sides
There are one zero at the end of 45 and two zeroes at the end of 6. So there are total 3 zeroes. Put these two zeroes at the end of “270”.
Result:	270,000

You can see that how simple it is. You can practice it with different combinations and you will find it very easy to multiply any number quickly.

Let’s try another example

Example 3: Multiply 10100 with 2000

10100	X	2000
Step 1:	Multiple Non-zero numbers on both sides
101	X	2
101 x 2 = 202
Step 2:	Count ending zeroes on both sides
There are two zeroes at the end of 101 and three zeroes at the end of 2. So there are total 5 zeroes. Put these two zeroes at the end of “202”.
Result:	202,00000

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