In mathematics, we study about the lots of branches of mathematics, from one of them
geometry is a part of mathematics, which deals with the diagrammatical representation of the
shapes and figures. In geometry, there are lots of shapes and figures are defined.
Triangle is the shape of geometry which is enclosed with three straight lines. Each line might
be of same size or different. The right angled triangle is a type of a triangle which contains the
angle of 90o.
Trigonometry is the part of right angled triangle. In the other way we can say that trigonometry
is a branch of mathematics that studies triangles and the relationship between the angles and
sides of the triangle.
To describe the relationship between the triangles sides and angles, we use the trigonometry
functions.The perpendicular side is a side that has the 90o of angle on them.
The base side is known as adjacent and in the opposite direction of the adjacent side is
known as hypotenuse.
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Below are some of the trigonometry ratio of the trigonometry angles are given. Where x, y and
z are refers to the lengths of the sides of right angle that helps to understand the concept of
Trigonometry is a part of the geometry which is formed by the two Greek words ‘Trigonon’ and
‘matron’. Here ‘Trigonon’ word refers to the triangle and the ‘matron’ refers to the
Trigonometry is the branch of geometrical mathematics that deals with the triangles, different
type of circles, waves and the oscillation. Trigonometry is crucial in geometry and the physics.
The important thing is that the concept of trigonometry is not bounded with the triangle; it also
works for the all type of angles. In simple meaning we can say that the trigonometry deals with
the behavior of waves and resonance, which are at the root of how matter works at the most
In normal triangle, if one of the angles has the measure of 90o and one of the angles is known
then the third is fixed because the sum of all three angles of the triangles is 180o. If the angles
are known then ratios of the sides can be determined and if any of the side’s length is known,
the other two can be determined.
In the normal triangle there are three types of function are defined that are sin, cosine and tan.
These all functions are very helpful in the study of trigonometry function.
Trigonometry function is the function that is helpful to measure the length of the all sides of the
triangle. In the below we show you the trigonometry function:
a) Sin function can be described as the ratio of the side opposite the angle to the
hypotenuse of the triangle. The function of sin can be defined as below:
Sin A = a / c
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In the above ‘a’ refers to opposite and ‘c’ can be refers as hypotenuse.
b) The second function is cosine function that can be defined as the ratio of the adjacent leg
to the hypotenuse. The function of cosine can be notified as:
Cos A = b / c
In the above the variable ‘b’ defines the value of adjacent and the variable ‘c’ defines the
c) The third function is tangent function that can be defined as the ratio of the opposite leg to
the adjacent leg. This function can be defined as:
Tan A = a / b
In the simpler form this can be write as tan A = Sin A / Cos A.
The hypotenuse is the side opposite to the 90 degree angle in a right triangle; it is the longest
side of the triangle. The adjacent leg is the other side that is adjacent to angle ‘A’. The
opposite side is the side that is opposite to angle ‘A’. These are the functions that play an
important role to understand trigonometric worksheets. In the same manner there are three
reciprocal function works on the concept of trigonometry function. They are given below:
d) Cosecant A = 1 / Sin A e) Secant A = 1 / Cos A
f) Cotangent A = 1 / tan A.
The trigonometry functions are applicable in astronomy to measure the distance to nearby
stars, in geography to measure the distance between the landmarks and in the satellite
navigation system. The important thing is that the function sine and cosine are the
fundamental theory of periodic functions. The functions of trigonometry are based on the
various types of trigonometry identities that help in solving the problem that are related to
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