Saturday, July 31

Radian to degree


Let us learn about radian to degree


To convert radians to degrees, we make use of the fact that p radians equals one half circle, or 180º.
This means that if we divide radians by p, the answer is the number of half circles. Multiplying this by 180º will tell us the answer in degrees.
So, to convert radians to degrees, multiply by 180/p, like this:
degrees=radian x 180/╥

Converting degrees to radians:

To convert degrees to radians, first find the number of half circles in the answer by dividing by 180º. But each half circle equals p radians, so multiply the number of half circles by p.
So, to convert degrees to radians, multiply by p/180, like this:
radian = degrees x ╥/180

The radian is calculated an angle defined such that an angle of radian subtended from the middle of a circle built an arc with arc length one.
Radians are the angel calculating in calculus because they allow derived and integral identities to be written in algebra terms
I hope the above explanation was useful.Keep reading and leave your comments.

Tuesday, July 27

derivative of sin


Let us learn about Derivative of sin


The derivative of a function at a point measures the rate at which the function's value changes as the function's argument changes. That is, a derivative provides a mathematical formulation of the notion of rate of change. As it turns out, the derivative is an extremely versatile concept which can be viewed in many different ways. For example, referring to the two-dimensional graph of f, the derivative can also be regarded as the slope of the tangent to the graph at the point x. The slope of this tangent can be approximated by a secant. Given this geometrical interpretation, it is not surprising that derivatives can be used to determine many geometrical properties of graphs of functions, such as concavity or convexity.
In mathematics, the trigonometric functions are functions of an angle. It is also called as circular function. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. The most familiar trigonometric functions are the sine, cosine, and tangent. Six trigonometric functions are one-to-one; they must be restricted in order to have inverse function. Integrate the function f(x) with respect to x can be written as ⌠f(x) dx.
Except where otherwise noted, the trigonometric functions take a radian angle as input and the inverse trigonometric functions return radian angles.
The ordinary trigonometric functions are single-valued functions defined everywhere in the complex plane (except at the poles of tan, sec, csc, and cot). They are defined generally via the exponential function, e.g.
cos(x) = e^ix+e^-ix/2
The inverse trigonometric functions are multivalued, thus requiring branch cuts, and are generally real-valued only on a part of the real line. Definitions and branch cuts are given in the documentation of each function. The branch cut conventions used by mpmath are essentially the same as those found in most standard mathematical software, such as Mathematica and Python’s own cmath libary (as of Python 2.6; earlier Python versions implement some functions erroneously).
In our next blog we shall learn about "how many sides does a hexagon have"

I hope the above explanation was useful.Keep reading and leave your comments.

Monday, July 26

picture graph


Let us learn about "picture graph"
A picture graph uses pictures or symbols to show data.
Graphs are pictures that help us understand amounts. These amounts are called data. There are many kinds of graphs, each having special parts.
A Line graph picture is one of the line charts. It is very easy to understand the data’s. We can compare two variables in line graph pictures. On Line graph pictures each variable is plotting along an axis. A graph picture has a vertical and horizontal axis. Let we learn about line graph pictures.

Graph Pictures:

Following statements are necessary for line graph pictures.
  • A line graph picture is a visual display used to determine up to the frequency of incidence of different character of data.
  • Give a summary of the information at top on line graph pictures (Title).
  • Axes are denoted by what information is presenting on the each axes. It is representing data groups.
  • They are best one to showing information (values of data) and easy to make graph pictures.
Basic needs for graph pictures:
  • We should give a clearly summary about information (data) and then place the title for them.
  • First we can decide how to make a line graph with axis.
  • Assign the value to horizontal axis and vertical axis.
  • Apply the given values on hor
if you need more help, you can click on link online graph paper
I hope the above explanation was useful.Keep reading and leave your comments.

Thursday, July 22

Frequency polygon


Hi Friends, Good Afternoon!!!

Let us learn about "Frequency polygon"

In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to form a polygon.

Facts and figures as such do not catch our attention unless they are presented in an interesting way. Graphical representation of data is one of the most commonly used modes of presentation. The different types of graphs are Bar graphs, Pie charts, Frequency polygon, Histogram.click on the link to learn how to make a histogram

Frequency polygons are a graphical device for understanding the shapes of distributions. They serve the same purpose as histograms, but are especially helpful in comparing sets of data. Frequency polygons are also a good choice for displaying cumulative frequency distributions.

To create a frequency polygon, start just as for histograms, by choosing a class interval. Then draw an X-axis representing the values of the scores in your data. Mark the middle of each class interval with a tick mark, and label it with the middle value represented by the class. Draw the Y-axis to indicate the frequency of each class. Place a point in the middle of each class interval at the height corresponding to its frequency. Finally, connect the points. You should include one class interval below the lowest value in your data and one above the highest value. The graph will then touch the X-axis on both sides.


I hope the above explanation was useful.Keep reading and leave your comments.


Wednesday, July 21

Factoring Cubes


Hi Friends, Good Afternoon!!!

Let us learn about "Factoring Cubes"

In mathematics, factoring is one important topic in algebra. Factoring the sum and difference of cubes are the one special case of polynomials in factoring.. Factoring is the process of performing the operation of arithmetic multiplication in reverse. Let us solve some example problems for factoring the sum and difference of cubes.

Factoring the Sum and difference of cubes:

Sum of cubes:

(a3 + b3) = (a + b) (a2 - ab + b2)

Differences of cubes:

(a3 – b3) = (a – b) (a2 + ab + b2)

If the length, breadth and height of a cuboid are equal to each other, then it is called a cube. For example, an ice - cube, a sugar cube, a dice, etc. A cube also has 6 faces, 12 edges and 8 vertices.

It is a box with square faces

A cuboid with all the edges of the same length is a cube.

The dice with which you play is a cube

A cube has 8 vertices

A cube has 12 edges

A cube has 6 faces.

A solid cube is the part of the space enclosed by the six faces of the cube.


I hope the above explanation was useful.Keep reading and leave your comments.

Monday, July 19

place value chart


Hi Friends, Good Afternoon!!!

Let us learn about "place value chart". Children love large numbers. The more digits the more impressed they are! :)

Place Value is an important concept, particularly when developing the two digit numbers and greater. Two digit and greater numbers include some areas that are often tricky and confusing for young children - particularly teen numbers and numbers containing zeros.

Numbers with zeros in them prove to be tricky. When a child says the number there is no real number sound that lets them know it is a zero. For example 706 - when we say it, it reads seven hundred and six. Therefore a child might write 7006 or 76 because there is no mention of any tens.


Try to learn about "times table chart" and this will help you to solve math problems.

Introduction to math place value chart:

The place value of numerals is determined by its positions. The numbers are positioned in the particular number of a digit within a numerical numbers. The place value indicates the position of a numerical system base value. The values are shows that numerical value in the standard forms in the identification. The values are determined by place of the numerals availability.

The Place Value Chart in Math:

Numbers- words

1 - One

10 - Ten
100 - hundred

1000 – one thousand

10000 – ten thousand

100000 – one hundred thousand

1000000 – ten million

10000000 – one billion

100000000 – one hundred billion

1000000000 – ten trillion



In our next blog we shall learn about "height conversion". I hope the above explanation was useful. Keep reading and leave your comments.





















Tuesday, July 6

Greatest common factors


Let Us Learn About Greatest Common Factors

The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers.

How to find the greatest common factor:

· Determine if there is a common factor of the numbers. A common factor is a number that will divide into both numbers evenly. Two is a common factor of 4 and 14.

· Divide all of the numbers by this common factor.

· Repeat this process with the resulting numbers until there are no more common factors.

· Multiply all of the common factors together to find the Greatest Common Factor

Greatest Common Factor is highest quantity that divides exactly into two or more Quantities. Finding the greatest common factor is listing the prime factors, and then multiplying the common prime factors. Find all the factors of two or more quantities, and find some factors are the same ("common"), and then the largest of those common factors is the Greatest Common Factor.

"GCF" is also called "Highest Common Factor". GCF is the "greatest" thing for simplifying fractions. It is simply the largest of the common factors two or more numbers. In this article we shall discuss about greatest common factor Study.

Study on Finding the Factors

GCF is made up of three words becomes

  • Greatest (largest)
  • Common(shared)
  • Factor.( Factored Piece)

Factor:

Factors are the numbers multiplying together to get another number.

The factors of 14 are 1, 2,7 and 14...

Because 2 × 7 = 14, or 7 x 2 = 14, or 1 × 14 = 14.

Consider the numbers 12 and 30.

The factors of 12 are 1, 2, 3, 4, 6, and 12

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30

So we get the common factors are 1, 2, 3, and 6.

Among these 1, 2, 3, and 6 the number 6 is the greatest.

So 6 is called as greatest common factor of 12 and 30.

Greatest common factor of two or more numbers is a common factor of the numbers which is greater among all the common factors.

Greatest Common Divisor (GCD) is also known as Highest Common Factor (HCF) or Greatest Common Measure (GCM).

Steps :

1.Find all the factors of each given number.

2.Find common factors of the given number.

3.The greatest of all the factors obtained in (Step 2) is the required G.C.D.

For example :

1)Greatest common factor of 18, 24 and 36.

Step 1, Find all the factors of each given number i.e. 18, 24 and 36.

Factors of 18 = 1, 2, 3, 6, 9 and 18,

factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

and factors of 36 = 1, 2, 3, 4, 6, 9,12, 18 and 36.

Step 2, [observe the common factors of the given number which are underlined].

Therefore, the common factors of 18, 24 and 36 = 1, 2, 3 and 6.

Step 3, [now observe the greatest of all the factors obtained in (Step 2) is the required G.C.D].

Therefore, Greatest common factor of 18, 24 and 36 = 6.


Keep reading and leave you comments.