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November 01, 2025, 03:05:32 pm
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Author Topic: NEED HELP WITH A SHORT EQUATION! CIRCULAR FUNCTION PROBLEM  (Read 643 times)  Share 

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DannyN

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NEED HELP WITH A SHORT EQUATION! CIRCULAR FUNCTION PROBLEM
« on: January 14, 2011, 01:16:34 pm »
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i know it must be really easy but i dont know how do i  find the asymptote of this equation
F(x)=inverse(cos)(6/x)

help would be really appreciated! thanks!~ :D
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2010: Mathematical Methods (CAS)
2011: English | Specialist Mathematics | Physics | Chemistry | Further Mathematics
Biomedicine@UoM

kamil9876

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Re: NEED HELP WITH A SHORT EQUATION! CIRCULAR FUNCTION PROBLEM
« Reply #1 on: January 14, 2011, 01:49:42 pm »
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So it would be good to firstly sketch/get a feel for the general behaviour of the function. What is the domain? you see immediately that and Hence that means that the only possible asymptote is when or . As , you see that that approaches hence the value of the function approaches if we use the standard definition of inverse cos. Same story if it approaches . Hence is the asympote
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

DannyN

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Re: NEED HELP WITH A SHORT EQUATION! CIRCULAR FUNCTION PROBLEM
« Reply #2 on: January 14, 2011, 01:52:59 pm »
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OMG Thanks A lot!
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2010: Mathematical Methods (CAS)
2011: English | Specialist Mathematics | Physics | Chemistry | Further Mathematics
Biomedicine@UoM
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