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anonymous

  • one year ago

Find the period of the function. y = -3 cos x

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  1. anonymous
    • one year ago
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    The period of cosine function is 2π. That doesn't change unless the variable is multiplied by a number. For example if you had y = -3 cos (2x) or y = -3 cos (½x). In those cases the period is 2π divided by the coefficient of x. - For y = -3 cos (2x) the period is 2π ÷ 2 = π. - For y = -3 cos (½x) the period is (2π ÷ ½) = 4π

  2. jim_thompson5910
    • one year ago
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    restating what peachpi said the general cosine function is y = A*cos(Bx - C) + D where |A| is the amplitude T = 2pi/B is the period C/B is the phase shift. Positive means right, negative means left y = D is the midline

  3. anonymous
    • one year ago
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    but there is only cos x so would the period still be 2pi then

  4. anonymous
    • one year ago
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    yes

  5. anonymous
    • one year ago
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    oh okay thank both of your explanations helped i wrote them down

  6. jim_thompson5910
    • one year ago
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    In your case, B = 1 making the period T = 2pi/B = 2pi/1 = 2pi

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