Note on Trigonometry Fuctions

Studying about trigonometry is always interesting since it contains major parts of math factions in it. Before we go more deeply on Trigonometry Functions.. Let me show you what is trigonometry.

What is Trigonometry:-

Trigonometry is noun, trigonometric is adjective: the first part of the word from Greek trigon"triangle". The second part of the trigonometry is from Greek Merton "a measure." The Indo-European root is probably me- "to measure." trigonometry is the literally the measuring (of angles and sides) of triangles. Historically speaking, the triangular approach to trigonometry is ancient where’s the circular approach now taught in our schools is relatively recent

Applications of Trigonometry:-

There are enormous number of uses of the trigonometry and trigonometric functions. For instance of the technique of triangulation is used in astronomy to measure the distance to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems. The sine and cosine functions are the fundamental to the theory of periodic functions such as those that describe sound and light waves

Trigonometric Functions:-

A common use of the mnemonics is remember facts and relationships in trigonometry

For example, the sine, cosine, and tangent ratios is a right triangle can be remembered by representing them as strings of letters, as in SOH-CAH-TOA.

Sine = Opposite ÷ Hypotenuse

Cosine = Adjacent ÷ Hypotenuse

Tangent = Opposite ÷ Adjacent

The memorization of this mnemonic can be aided by expanding into a phrase such as "SomeOfficers Have Curly Auburn Hair Till Old Age" Any memorable phrase constructed of words beginning with the letters S-O-H-C-A-H-T-O-A will serve.

I hope my information on this topic was more helpful to you.. keep reading and leave your comments..

How do Solve Proportions

Before we learn about how to solve proportions.. let me help you go through cross multiplication to solve proportion. this will help you understand better about proportion..

A proportion is an equation which states that two ratios are equal.

When the terms of a proportion are cross multiplied, the cross products are equal.

Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio.

    21      3     --  =  --            70     10     21 * 10 = 70 * 3       210 = 210 

If one term of a proportion is not known, cross multiplication can be used to find the value of that term.

     x      3     --  =  --            70     10     x * 10 = 70 * 3       10x = 210            10x   210     --- = ---     10    10            x = 21 

This was just a sample problems on proportion.... keep reading and leave your valuable comments .. may be in the next lesson.. let me help you go through deeply on Algebra , number system, and matrix. I feel these are the major and simple topic which we need to know before we learn anything about math,,, Keep reading and leave your valuable comments... to help you better.

Types of Angles

Studying about angles are very interesting since it comes with diagrams and more easy to explain and learn as well. let me show you few types of angles with the diagram..

Acute angle:

An angle whose measure is less than 90 degrees. The following is an acute angle.
Right angle:

An angle whose measure is 90 degrees. The following is a right angle.

Obtuse angle:

An angle whose measure is bigger than 90 degrees but less than 180 degrees. Thus, it is between 90 degrees and 180 degrees. The following is an obtuse angle.



Straight angle

An angle whose measure is 180 degrees.Thus, a straight angle look like a straight line. The following is a straight angle.



Reflex angle:

An angle whose measure is bigger than 180 degrees but less than 360 degrees.The following is a reflex angle.

Adjacent angles:

Angle with a common vertex and one common side. <1 src="http://www.basic-mathematics.com/images/Adjacentangle.gif" border="0" alt="Adjacent-angle-image">

Complementary angles:

Two angles whose measures add to 90 degrees. Angle 1 and angle 2 are complementary angles because together they form a right angle.

Note that angle 1 and angle 2 do not have to be adjacent to be complementary as long as they add up to 90 degrees



Supplementary angles:

Two angles whose measures add to 180 degrees. The following are supplementary angles.

Vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines. The following(angle 1 and angle 2) are vertical angles.



When two parallel lines are crossed by a third line(Transversal), 8 angles are formed. Take a look at the following figure



Angles 3,4,5,8 are interior angles

Angles 1,2,6,7 are exterior angles

Alternate interior angles:

Pairs of interior angles on opposite sides of the transversal.

For instance, angle 3 and angle 5 are alternate interior angles. Angle 4 and angle 8 are also alternate interior angles.

Alternate exterior angles:

Pairs of exterior angles on opposite sides of the transversal.

Angle 2 and angle 7 are alternate exterior angles.

Corresponding angles:

Pairs of angles that are in similar positions.

Angle 3 and angle 2 are corresponding angles.

Angle 5 and angle 7 are corresponding angles

Example Problems for Word Problems

Introduction to word problems:

In mathematics education, the term word problem is often used to refer to any mathematical exercise where significant background information on the problem is presented as text rather than in mathematical notation. As word problems often involve a narrative of some sort, they are also referred to as story problems and may vary in the amount of language used.

Problems on Word Problems

Hear by ... let me show your a example on word problems ... so that it is little easy for you to understand better.

Example:

The sum of thrice a number plus 60 is 330. Determine the number.

Solution:

The word is means equals. The word and means plus.
Rewrite the word problem
the sum of thrice a number and 60 equals 330.
Write the problem into an equation.

3M + 60 = 330

Solve the above equation using the variable.

3M + 60 = 330 (Given Equation)
3M + 60 – 60 = 330 - 60 (Both side subtracted by – 60, we get)
3M = 270
M = 90 (Both sides Divided by 3, we get the result)
Solution to the given word Problem is 90.

This was just a sample problems on word.. Keep reading and leave your valuable comments.. and let me know if you are particular in learning any topic in math, i will be able to help you with that all.