# 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.

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