“Mathematics is the gate and key of
science”. The main branches of pure mathematics are;
Algebra, Geometry, Trigonometry,
Calculus, Statistics and Probability.Trigonometry is a branch of mathematics that studies relationships
between the sides and angles of triangles. Hipparchus of Nicaea is
now consequently known as "the father of trigonometry." He was the
first one who tabulated corresponding values of arc and chord for a series of
angles. Trigonometry can be applied only on right angled triangles, which have
special names for their sides corresponding to the angle that we consider.
There are
six functions in trigonometry; sine (sin), cosine (cos), tangent (tan),
cosecant (cosec), secant (sec), and cotangent (cot), each of which is one
side of a right-angled triangle divided by another.. In these, first three are
basic functions in trigonometry. And the other three functions will
be the reciprocal of first three functions respectively.
Trigonometry is not just the simple study related to
sides and angles of triangle, but it is highly related to daily life. As one of the most important fields of
mathematics, particularly for careers that are built around calculating angles,
a working knowledge of trigonometry and its uses is important for
students of all ages. Trigonometry spreads its
applications into various fields such as architects, surveyors, astronauts,
physicists, engineers and even crime scene investigators
Trigonometry can be used to calculate the height in several situations
like in finding height of a mountain, building, tree, electric post etc… The
concepts like angle of elevation can be used for finding height of an object in
a raised view and angle of depression in a lowered view, means observing an
object from a height by looking down.
In construction also, it have the application. Any construction on earth surface will be consistent if it is straight in height. Mathematically we can say that it will be always perpendicular to the ground. There comes the application of trigonometry. In making walls parallel and perpendicular, installing ceramic tiles, measuring fields, lots and areas, roof inclination, we apply trigonometry to attain its perfection.
In construction also, it have the application. Any construction on earth surface will be consistent if it is straight in height. Mathematically we can say that it will be always perpendicular to the ground. There comes the application of trigonometry. In making walls parallel and perpendicular, installing ceramic tiles, measuring fields, lots and areas, roof inclination, we apply trigonometry to attain its perfection.
Every one of us will be a
lover of music. We all know sound travels in the form of waves. A computer cannot
obviously listen as we do. It represents the music by its constituent component
waves. We are familiar with the wave nature of graphs of the sin and cos
functions. This implies that sound engineers who are good in mathematics will
be a good composer.
Recent world is based on technology. Today even children gives importance to technology related games rather than games involving physical effort. Video games are now widely used among this generation. And it is possible only by the help of trigonometry. In game Mario, the jump over the curved path or parabolic path is smoother due to its application.
In
flight engineering, it plays a major role. They have to consider direction of
wind, direction along with the speed, distance, speed etc. The measurements of
speed, direction along given speed and the speed of the wind can used to
construct a right angled triangle. And solving this for third side gives the
right direction of the plane.
In
marine engineering as well as in marine biology , angle of depression is used
to calculate required data like size of
object in the depth of sea, distance between celestial bodies, to study about
the photosynthesis ability of algae in different depths etc.
It is used in navigation also. It tells the right direction have to be taken with compass.
In criminology trigonometry is used to find the culprit. It is mainly used to calculate the projectile trajectory, and to estimate the causes of a collision in a car accident. Further, it is used to identify how an object falls or in what angle the gun is shot.
Thus trigonometry is not an abstract theory, it can be visualized through incidents in daily life.There is no progress in man kind without mathematics, and trigonometry plays a major role in it.
