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How do you write equations in a single sine function?

  1. Feb 20, 2007 #1
    What would the Domain, Range, Amplitude, Period, Phase shift be for y=-3sin(x)+2cos(x)?

    How do you write it as a single sine function equivalent to it? :confused:
     
  2. jcsd
  3. Feb 20, 2007 #2

    JK423

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    Gold Member

    When you have a function of
    y=Asinωx+Bcosωx

    that will be equivalent to:
    y=Rcos(ωx+φ)

    where R=sqrt(A^2+B^2) and φ=tan^-1 (A/B)
     
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