Sinusoidal Functions

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Session Overview

Euler's formula describes how sinusoidal functions go hand in hand with complex numbers. In addition, we will often use sinusoidal functions as input to our systems. This session lays out the terms and formulas we will need when working with these functions.

Session Activities

Read the course notes:

• Sinusoidal Functions: Introduction (PDF)
• Sinusoidal Functions (PDF)

Watch the lecture video clip:

• Three Proofs of the Basic Trigonometric Identity (00:10:12)

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  Three Proofs of the Basic Trigonometric Identity (00:10:12)

  > Download from iTunes U (MP4)

  > Download from Internet Archive (MP4)

• Transcript (PDF)

Check Yourself

Take the quiz:

• Mystery Sinusoid (PDF)
• Choices (PDF)
• Answer (PDF)

Session Activities

Read the course notes:

• The Sinusoidal Identity (PDF)

Learn from the Mathlet materials:

• Read about how to work with the Trigonometric Identity Applet (PDF)
• Work with the Trigonometric Identity Applet

Check Yourself

Take the quiz:

• Amplitude Phase Form (PDF)
• Choices (PDF)
• Answer (PDF)

Session Activities

Watch the problem solving video:

• Sinusoidal Functions (00:15:03)

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  Sinusoidal Functions

  > Download from iTunes U (MP4)

  > Download from Internet Archive (MP4)

• Transcript (PDF)

Complete the practice problems:

• Practice Problems 7 (PDF)
• Practice Problems 7 Solutions (PDF)

Check Yourself

Complete the problem set:

• Problem Set Part I Problems (PDF)
• Problem Set Part I Solutions (PDF)

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