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Graphs of Sine, Cosine and Tangent

Author:
L. Marizza A. Bailey, adamcaudell
Topic:
Circle, Cosine, Functions, Sine, Tangent Function, Trigonometric Functions, Trigonometry, Unit Circle
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?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Domains

Which of the functions have the domain all real numbers?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Range

Which functions have range all real numbers?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Bounded

Which functions are bounded above and below?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Period

Which of the functions have a period of ?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Period of Tangent

What is the period of tan(x)?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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