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Pre calculus

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Solve for all values between zero and 360 degrees.

cos(theta-42 degrees)=-1

What is the general solution and what is the solution????

  • Pre calculus - ,

    cos(Ø - 42°) = -1
    I know cos 180° = -1

    Ø - 42 = 180
    Ø = 222° , only one solution between 0° and 360°
    (look at the graph of cos Ø )

    The period of cos(Ø-42) is 360°

    so a general solution is
    Ø = 222° + 360k° , where k is an integer.

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