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Arccosecx watch

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    Hey, i was just wondering how pople would deal with arccosecx?

    Arccosecx = arc(1\sinx) = 1/arcsinx
    or = (1/sinx)^-1 = sinx

    in th p2 book it asked me to draw the graph of y=arccosecx an igot kinda confussed. if anyone could clear this up for me that would be great.
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    wait a minute, just thought, are those two possible answers i gave the same? :confused:
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    arccosec(x) = arcsin(1/x)

    Some graph-drawing programs like Graph 3.1 have an acsc(x) function which will show you what it looks like.
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    Thanx
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    Umm I could be wrong, but don't you draw y=cosec(x) and reflect into the line y=x? It's got a limited domain as well, otherwise it's not a one-one function.
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    It needs to have a limited domain to be a function at all. A one to many mapping cannot be a function.
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    (Original post by Squishy)
    arccosec(x) = arcsin(1/x)

    Some graph-drawing programs like Graph 3.1 have an acsc(x) function which will show you what it looks like.

    Correct!
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    Hey, i take ur word for it, but how did u come to that answer?
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    (Original post by kingmonkeywoman)
    Hey, i take ur word for it, but how did u come to that answer?
    y = arcsinx
    => siny = x
    => cosecy = 1/x
    => y = arcosec(1/x)

    therefore arcsinx = arcosec(1/x) or arcosec(t) = arcsin(1/t) [t=1/x]
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    (Original post by kingmonkeywoman)
    Hey, i take ur word for it, but how did u come to that answer?
    y = arcosecx
    cosec(y)=x
    1/sin(y)=x
    sin(y)=(1/x)
    y=arcsin(1/x)

    But y = arcosecx

    Therefore,

    arcosec x = arcsin(1/x)

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    (Original post by It'sPhil...)
    y = arcsinx
    => siny = x
    => cosecy = 1/x
    => y = arcosec(1/x)

    therefore arcsinx = arcosec(1/x) or arcosec(t) = arcsin(1/t) [t=1/x]

    damn it im just too slow
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    (Original post by It'sPhil...)
    y = arcsinx
    => siny = x
    => cosecy = 1/x
    => y = arcosec(1/x)

    therefore arcsinx = arcosec(1/x) or arcosec(t) = arcsin(1/t) [t=1/x]
    Did you manage to download all the papers coz im takin them down soon?
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    Thanx , cant say i would have approached it like that myself, nice one :cool:
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    (Original post by integral_neo)
    Did you manage to download all the papers coz im takin them down soon?
    Yeah I have all the papers thanks for putting them up
 
 
 

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