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Math Help - Forgot how to find the period of this function

  1. #1
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    Forgot how to find the period of this function

    Well here it is:

    period of y=2 cos(1/4x)

    I realize this much: T=2pi/w=2pi/1/4=8pi

    Is that correct? Is it 8pi ?
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  2. #2
    Super Member TheChaz's Avatar
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    Re: Forgot how to find the period of this function

    Quote Originally Posted by IneeedHelp View Post
    Well here it is:

    period of y=2 cos(1/4x)

    I realize this much: T=2pi/w=2pi/1/4=8pi

    Is that correct? Is it 8pi ?
    yes.
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  3. #3
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    Re: Forgot how to find the period of this function

    Well thats great.

    Now how do I apply that to find four subintervals?
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  4. #4
    Super Member TheChaz's Avatar
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    Re: Forgot how to find the period of this function

    Divide the interval (0, 8pi) into fourths !??!

    That shouldn't be too hard. Is the "pi" throwing you off or something?
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  5. #5
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    Re: Forgot how to find the period of this function

    Yeah it is actually. I have the flu and cannot think straight.
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  6. #6
    Super Member TheChaz's Avatar
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    Re: Forgot how to find the period of this function

    Let's ignore the pi part for a minute.

    Draw a line segment.
    Label one endpoint "0" and the other endpoint "8" (to represent a segment of length eight)
    Label the midpoint "4"
    Label the midpoints of the smaller segments - "2" and "6".

    Now copy this onto your x-axis and add "pi" after each x-coordinate!
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  7. #7
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    Re: Forgot how to find the period of this function

    Wow you blew my mind at the simplicity. . . . .

    Thank you good sir
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  8. #8
    Super Member TheChaz's Avatar
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    Re: Forgot how to find the period of this function

    Quote Originally Posted by IneeedHelp View Post
    Wow you blew my mind at the simplicity. . . . .

    Thank you good sir
    No problemo. Get well soon. More mindblowing awaits.
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