The Trigonometric Functions.
Trigonometric Functions:
If we place an angle in standard position or at origin and draw a circle with center at origin such that the circle will intersect terminal arm of the angle , As shown in following figure:
Where “x” is the x-coordinate of the point “P”, “y” is the y-coordinate of point “P” and “r” the radius of circle.
Then for any angle of Θ there are six trigonometric functions named: Sine , Cosine , Tangent , Cosecant , Secant and Cotangent
The above functions are defined by :
Sine of the angle Θ = SinΘ=y/r
Cosine of the angle Θ=CosΘ=x/r
Tangent of the angle Θ=TanΘ=y/x
Cosecant of the angle Θ=CosecΘ=r/y
Secant of the angle Θ=SecΘ=r/x
Cotangent of the angle Θ=CotΘ=x/y
Note:
:-Cosecant , Secant and Cotangent are just inverse of Since , Cosine and Tangent respectively.
:-For some of the cases (when the denominator of the value of function if 0) or values of Θ Cosecant , Secant , and Cotangent may not be defined.