| Intro |
The objective of this software
is to inculcate interest in learning
and mastering mathematics among school
pupils. This software attempts to
promote the study of trigonometry,
an important subject in mathematics
which are to be applied in many aspect
of human activities such as graphic
design and engineering. It shows how
basic mathematical functions and trigonometry
are applied in the fields of telecommunications
and mechanical engineering.
It is also allows simulation of basic
mathematical functions like linear,
quadratic functions, inverse functions
and selected differential and integral
results of some of the functions.
The software also included trigonometric
functions of sine, cosine, tangent,
sin(x)/x, cos(x)/x and circles with
typical applications in graphic design
and engineering (mechanical &
telecommunication). Applications of
Circles and Trigonometry are presented
in graphic forms
|
| |
| Basic Mathematical
Functions |
. Linear
. Quadratic
. Sine
. Cosine
. Tangent
. Sin(x)/x
. Cos(x)/x
. Circle
|
| |
| Trigonometry
Basics |
. Revision
of Sine, Cosine and Tangent with respect
to a Triangle.
.
Plotting 4 quadrant in a Circle giving
360 degrees (2pi radian) coverage |
| |
| Angular Velocity |
. The concept
of Angular Velocity in Radian/Second
by looking at a rotating arm revolving
in a Circular path
.
Comparing position of y in a circular
Rotating Arm.
.
The effect of changing Angular Velocity. |
| |
| Applications
of Trigonometry in Signal Analysis &
Synthesis |
| . Revision
of SINE, COSINE, TANGENT in a Triangle
plus a note on TRIGONOMETRIC IDENTITIES
Application in Modulation
Techniques which are commonly
referred to base band, AM,FM, PSK and
QAM |
| |
| Analyzing Trigonometric
Identities |
. It shows
4 selections of trigonometric identities
formulae that consist of identities
and partners are being plot
to verify their truth.
. It describes
briefly what is a signal in relation
to mathematical function and pointing
directly to sinusoid properties
such as Amplitude, Frequency and
Phase
. It also allows
selection of F1 and F2 values and their
respective multipliers (1, 10, 100,
and 1000) and also Amplitude
Selection UpDowns.
|
| |
| Application
of Trigonometry in Telecommunications |
. It is specifically
Modulation of signal analysis and synthesis.
. Experiencing
using test equipment such as signal
generators and oscilloscopes.
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