# Graphs of Sine, Cosine and Tangent

This demonstration shows how the graphs of the 6 trigonometric functions are related to the Unit Circle. The point A is animated around the circle and each function is plotted as a point. For example, the sine curve is plotted by tracing the point where is an angle between 0 and .
The trace changes from black to red when the function passes from being positive to negative.
is the slope of the line segment shown, which means is the reciprocal of the tangent.

## Trigonometric Functions and The Unit Circle

## Vertical Asymptotes

Which of the graphs have vertical asymptotes?

## Domains

Which of the functions have the domain all real numbers?

## Range

Which functions have range all real numbers?

## Bounded

Which functions are bounded above and below?

## Period

Which of the functions have a period of ?

## Period of Tangent

What is the period of tan(x)?