Pre cal

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a sinusoidal function has a local maximum at (0,2) and the next minimum at (Pi/4, -2). a correct equation for the function is

  • Pre cal -

    max at t = 0 is a cos function

    y = A cos (k theta)
    max is 2 so
    y = 2 cos (k theta)

    min of cos is at (k *pi/4) = pi radians
    so k = 4

    y = 2 cos (4 theta)

  • Pre cal -

    Oh if they insist on sin rather than cos, use phase shift of pi/2

    y = 2 sin (4 theta - pi/2)

  • Pre cal -

    not -pi/2 but +pi/2

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