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    lockhart11's Avatar
    lockhart11 Posts: 1, Reputation: 1
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    #1

    May 7, 2010, 06:09 AM
    what is the answer to sin x csc x=1
    I need the answer
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    May 7, 2010, 08:41 AM

    The trick here is to convert the cosecant function into its equivalent sin function, using:

    csc(x) = 1/sin(x).

    Can you take it from here?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    May 7, 2010, 09:54 AM

    If that is to be proved, then you use what ebaines suggested.

    If you need to solve for x... well, you need to think about the proof ;)
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    May 7, 2010, 10:02 AM

    Just one little "gotcha" to add - think about the range of csc(x), and avoid a situation of trying to determine a value for
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #5

    May 7, 2010, 03:01 PM

    Look at what sin(x)csc(x) is.

    Since csc(x)=1/sin(x), then we have sin(x)/sin(x).

    Of course, it equals 1 no matter the x value.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #6

    May 10, 2010, 06:03 AM
    Quote Originally Posted by galactus View Post
    Of course, it equals 1 no matter the x value.
    Actually, sin(x)csc(x) is undefined at x = 0.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #7

    May 10, 2010, 08:22 AM
    Quote Originally Posted by ebaines View Post
    Actually, sin(x)csc(x) is undefined at x = 0.
    Yes, of course. I reckon I should have been more definitive.
    InfoJunkie4Life's Avatar
    InfoJunkie4Life Posts: 1,409, Reputation: 81
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    #8

    May 12, 2010, 12:44 PM



    For all values of x such that 0 is less than x is less than pi and pi is less than x is less than two times pi.



    I can't think of a better way to write it...
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #9

    May 12, 2010, 01:04 PM
    Quote Originally Posted by InfoJunkie4Life View Post
    I can't think of a better way to write it...
    How about:
    For , where = any integer.
    InfoJunkie4Life's Avatar
    InfoJunkie4Life Posts: 1,409, Reputation: 81
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    #10

    May 13, 2010, 11:11 AM

    Ah... I was wondering how you would say "x cannot be a factor of pi" but I wasn't sure. That works great.

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