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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.

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

**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

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.

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.

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

Example:

State the amplitude and period of each of the following functions:

a) y = -4cos(3x)

b) y = 1/2 sin(x)

Example:

Find the maximum value and minimum value for the functions:

a) y = 6 sin(7x)

b) y = -1/2 cos(3πx)

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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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