Share
Explore BrainMass

Trigonometric Functions : Explain sine, cosine, tangent, cotangent functions and inverses.

Please explain sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions with graphics.

Solution Preview

Trigonometric functions

The sine function

The function defined by :
sin : R -> R : x -> sin(x)
is called, the sine function.
The images are bounded in [-1,1] and the period is 2.pi .
We say that the range of the function is [-1,1].

The cosine function

The function defined by :
cos : R -> R : x -> cos(x)
is called, the cosine function.
The images are bounded in [-1,1] and the period is 2.pi .
The range of the function is [-1,1].

The tangent function

The function defined by :
tan : R -> R : x -> tan(x)
is called, the tangent function.
Now, the period is pi and the images are not defined in x = (pi/2) + k.pi
The range or image is R.

The cotangent ...

Solution Summary

Sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions are explained with graphics. The solution is detailed and well presented.

$2.19