# Arccosecx

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Thread starter 16 years ago
#1
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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Thread starter 16 years ago
#2
wait a minute, just thought, are those two possible answers i gave the same?
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16 years ago
#3
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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Thread starter 16 years ago
#4
Thanx
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16 years ago
#5
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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16 years ago
#6
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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16 years ago
#7
(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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Thread starter 16 years ago
#8
Hey, i take ur word for it, but how did u come to that answer?
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16 years ago
#9
(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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16 years ago
#10
(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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16 years ago
#11
(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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16 years ago
#12
(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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Thread starter 16 years ago
#13
Thanx , cant say i would have approached it like that myself, nice one
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16 years ago
#14
(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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