Archive for December, 2007
Monday, December 31st, 2007
Trigonometric functions are like numbers. There are even and odd numbers. Likewise trigonometry has even and odd functions.
For more information on Even and Odd function of trigonometry, click here.
What happen when cosine is added to sine?
Since cosine function is even, and sine is odd, their summation will result in an ...
Posted in Trigonometry | 3 Comments »
Sunday, December 30th, 2007
What is it like to multiply (cos A) with (cos B)?
Can the answer be expressable in another form that is easier to understand?
Before we can answer that, let us slightly deviate to another related topic of angle summation (difference).
We know of these Trigonometric Identities:
sin (A + B) = sin A cos ...
Posted in Trigonometry | No Comments »
Sunday, December 30th, 2007
What is zero?
Nothing?
Maybe.
1 + 0 = 1
2 + 0 = 2
5 - 0 = 5
So what is this "0" doing?
Nothing to the effect, right? With or without the number "zero", the answer is the original. It has nothing to do with the final answer.
What about 3 x 0? It has ...
Posted in Number | 2 Comments »
Saturday, December 29th, 2007
There are times where we need to observe the harmonics in a signal to analyse and perform some operations on them. So how are these harmonics shown?
There are 2 basic ways to show what harmonics are.
There are advantage and disadvantage to both presentation. And which presentation to use is subjected to the application objective.
Presentation ...
Posted in Trigonometry | 1 Comment »
Saturday, December 29th, 2007
In trigonometric form, a sinewave can be written as
A sin (x + K) or
A sin (2 p f t + K)
In another words, the waveform can be mathematically expressed in terms of angle (x) or frequency (f).
Here, the "f" is termed the Fundamental frequency, being the main frequency component of the ...
Posted in Trigonometry | 2 Comments »
Thursday, December 27th, 2007
In trigonometric maths, we do come across "Odd" and "Even" functions.
What are these terms?
The diagrams below will explain.
Diag 1 Sine Function
Diag 2 Cosine Function
From the first diagram of Sine function, you can see that the shape of the graph at both sides of the zero degree axis (Vertical axis) ...
Posted in Trigonometry | 1 Comment »
