The word Trigonometry word derived from the Greek word
“ Tri” meaning “three “ “Gonia “ meaning an “angle” and “Metron” meaning “measure” thus
the word “Trigonometry” means “three angle measure” and
hence the literal meaning the measurement of a triangle.
v Trigonometry is a branch of mathematics which deals with relation between the sides and angles of a triangle with the help of a right angled triangle to determine un known heights and distances
v Trigonometry is very useful in navigation, engineering and astronomy.
Angle is a measure of rotation of a given ray about its initial point.
The original ray is called the initial side and the final position of the ray
after rotation is called the terminal side of the angle.
The point of rotation is called the vertex.
If the direction of rotation is anticlockwise, the angle is said to be positive
and if the direction of rotation is clockwise, then the angle is negative
The measure of an angle is the amount of rotation performed to get the terminal side from the initial side.
There are several units for measuring angles.
Angle :- An angle is the union of two rays (sides) with common end point ”O”
The amount of rotation from the initial side to the terminal side is called the measure of the angle.
Positive and negative Angles:-
An angle formed by rotating ray is said to be positive or negative depending on whether it moves in an anti-clockwise or a clock wise direction, respectively together with the rotation in the plane necessary to bring one ray in the position of the ray.
v If the rotation is anti clockwise, the angle regards as positive and
v if clockwise the angle regarded as negative.
An angle whose measure is more than 00 but less than 900 is called an Acute angle.
An angle whose measure is 900 is called an Right Angle:
An right angle is exactly one quarter of a revolution.
An angle whose measure is more than 900 but less than 1800 , is called an Obtuse Angle.
An angle whose measure is 1800, is called an Straight angle.
A straight angle is exactly one half of a revolution.
An angle whose measure is more than 1800 but less than 3600 is called an Reflex Angle.
An angle whose measure is 3600, is called an Complete Angle
If the terminal ray coincides with the initial ray after one complete rotation. Then the angle formed is called a complete angle.
If the terminal ray coincides with the initial ray, without any rotation. Then the angle formed is called ‘zero angle’.
If the measure of the angle is 00 it is called a zero angle.