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Mathematics 12 Online
OpenStudy (anonymous):

is y=cscx equivalent to x=cscy?

jimthompson5910 (jim_thompson5910):

no, but y = csc(x) is equivalent to x = arccsc(y) where "arccsc" stands for "arccosecant"

jimthompson5910 (jim_thompson5910):

another name for "arccosecant" is "inverse cosecant"

OpenStudy (anonymous):

then is y=csc\[y=\csc^{-1}x equivalent \to x=cscy\]

jimthompson5910 (jim_thompson5910):

if you're asking if y=csc^(-1)(x) is equivalent to x=csc(y) then you are correct

OpenStudy (anonymous):

so ask to sec and cot right?

jimthompson5910 (jim_thompson5910):

what do you mean?

OpenStudy (anonymous):

\[y=\sec ^{-1} equivalent \to x=\sec(y) \]

jimthompson5910 (jim_thompson5910):

that is correct I'm assuming you meant to write y = sec^(-1)(x) in the first part

OpenStudy (anonymous):

yeah i used the equation tools at the bottom

jimthompson5910 (jim_thompson5910):

i gotcha

OpenStudy (anonymous):

thank you so much! you helped me a lot!!

jimthompson5910 (jim_thompson5910):

you're welcome

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