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Graphing Sine and Cosine Functions

Related Topics:
More Lessons for Trigonometry
Math Worksheets



A series of free Trigonometry Lessons.

The following diagrams show the characteristics of sine graphs. Scroll down the page for more examples and solutions on graphing sine functions.

Sine Function

The following diagrams show the characteristics of cosine graphs. Scroll down the page for more examples and solutions on graphing cosine functions.

Cosine Function

An Introduction to the Graphs of Sine and Cosine Functions Graphing Sine or Cosine Functions with Different Coefficients (Amplitude and Period)
Example:
State the amplitude and period of each of the following functions:
a) y = -4cos(3x)
b) y = 1/2 sin(x)



Finding Maximum and Minimum Values and Zeros of Sine and Cosine
Example:
Find the maximum value and minimum value for the functions:
a) y = 6 sin(7x)
b) y = -1/2 cos(3πx)
Solving Word Problems Involving Sine or Cosine Functions
Example:
A market research company finds that traffic in a local mall over the course of a day could be estimated by
P(t) = -2000 cos(π/6 t) + 2000

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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