Introduction of Trigonometric Functions of an Angle:
The word trigonometry is derived from Greek meaning study of a triangle, a right triangle in particular.
Trigonometric function means a relation of the sides of a right triangle. The angle that is made by the hypotenuse with the base of a right triangle determines the ratio of different sides and hence it is important to study the trigonometric function of any angle.
With the rotation of the hypotenuse, the angle varies and hence the trigonometric function is also called as circular function.
The word trigonometry is derived from Greek meaning study of a triangle, a right triangle in particular.
Trigonometric function means a relation of the sides of a right triangle. The angle that is made by the hypotenuse with the base of a right triangle determines the ratio of different sides and hence it is important to study the trigonometric function of any angle.
With the rotation of the hypotenuse, the angle varies and hence the trigonometric function is also called as circular function.
Trigonometric Function of an Angle – Basic Concepts
The basic trigonometric functions of any angle are Sine functions, Cosine functions and Tangent functions. The are abbreviated as sin, cos and tan respectively.
The Sine function gives the ratio of the vertical component of the hypotenuse(rise) and the hypotenuse. The cosine function gives the ratio of the horizontal component of the hypotenuse(run) and the hypotenuse. The Tangent function gives the ratio of the vertical component of the hypotenuse (rise) and the horizontal component of the hypotenuse(run).
The reciprocal functions of Sine, Cosine and Tangent are called Cosecant, Secant and Cotangent functions respectively.
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