Explore BrainMass

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

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

https://brainmass.com/math/graphs-and-functions/trigonometric-functions-explain-sine-cosine-tangent-cotangent-functions-and-inverses-36132

#### 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.

\$2.49