Analyzing the Sine and Cosine Functions

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Analyzing the Sine and Cosine Functions

Respond to one of the following choices in a word processing document. Your typed explanation must contain at least 100 words and should be answered with complete sentences.

Choice #1: Describe each of the following properties of the graph of the cosine function, f(theta) = cos(theta), and relate the property to the unit circle definition of cosine.

  • Amplitude
  • Period
  • Domain
  • Range
  • x-intercepts

Choice #2: Describe each of the following properties of the graph of the sine function, f(theta) = sin(theta), and relate the property to the unit circle definition of sine.

  • Amplitude
  • Period
  • Domain
  • Range
  • x-intercepts

Your response must include:

  • A discussion of the amplitude, period, domain, and range of the sine or cosine function.
  • A relation of each property to the unit circle. For example, if discussing the domain, describe how the domain of sine or cosine is based on the unit circle.
  • At least 100 words in complete sentences with appropriate grammar and spelling.
  • Provide the source used for information (i.e. the website, the book, etc.). Not providing your source may result in an Academic Integrity violation.
  • Your teacher will use the 04.05b Rubric to grade your assignment.
  • Save your assignment as a word processing document (.doc) or rich text format (.rtf).

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