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Math Help - General solutions for cos(1/x)

  1. #1
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    General solutions for cos(1/x)

    This may seem a bit too simple of a question:

    Do we write solutions to cos(1/x) = 0 as:

    1/x = PI/2 (+/-) n(PI) where n is an integer or

    1/x = n(PI) (+/-) PI/2 where n is an integer?

    Is one form of the solution better tan the other? If so, which is the better form?

    Thanks!
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  2. #2
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    Re: General solutions for cos(1/x)

    Quote Originally Posted by zachd77 View Post
    Do we write solutions to cos(1/x) = 0 as:
    Make the notation simpler. \cos(\theta)=0\text{ if and only if }\theta=\frac{(2n+1)\pi}{2} where n\in\mathbb{Z}.

    Now x=~?
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  3. #3
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    Re: General solutions for cos(1/x)

    Quote Originally Posted by zachd77 View Post
    This may seem a bit too simple of a question:

    Do we write solutions to cos(1/x) = 0 as:

    1/x = PI/2 (+/-) n(PI) where n is an integer or
    If n= 4, then pi/2+ 4pi= (9/2)pi and cos((9/2)pi)= 0

    1/x = n(PI) (+/-) PI/2 where n is an integer?
    If n= 4, then 4(pi/2)+ pi= 3pi and cos(3pi)= -1.

    Is one form of the solution better tan the other? If so, which is the better form?

    Thanks!
    Thanks from topsquark
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