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)?