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May 15, 2025, 06:42:45 am

Author Topic: cartesian eqn help  (Read 1750 times)  Share 

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Jordan23

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cartesian eqn help
« on: September 09, 2009, 08:25:56 pm »
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r(t)=(e^t+e^(-t))i + (e^t-e^(-t))j

12B q11 c from Essentials

TrueTears

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Re: cartesian eqn help
« Reply #1 on: September 09, 2009, 08:42:29 pm »
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let and

x = 2cosh(t) and y = 2sinh(t)

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Jordan23

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Re: cartesian eqn help
« Reply #2 on: September 09, 2009, 08:48:44 pm »
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???????? We don't do sinh and cosh functions do we and it is still in terms of t

TrueTears

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Re: cartesian eqn help
« Reply #3 on: September 09, 2009, 08:50:47 pm »
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nah it's not in the spesh course but I just remember it coz it helps.

My final line is not in terms of t.

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Jordan23

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Re: cartesian eqn help
« Reply #4 on: September 09, 2009, 08:52:03 pm »
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sorry lol i just don't understand the last line. Thought it was like syntax or something. Is this the only way to do the question why would it be in the spesh book?

TrueTears

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Re: cartesian eqn help
« Reply #5 on: September 09, 2009, 08:53:32 pm »
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Nah there's another way kamil did it in another thread, I just forgot.

EDIT: can anyone else see LaTeX? It's not showing up for me =S
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TonyHem

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Re: cartesian eqn help
« Reply #6 on: September 09, 2009, 08:55:01 pm »
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Nah there's another way kamil did it in another thread, I just forgot.

EDIT: can anyone else see LaTeX? It's not showing up for me =S

not showing up for me either.

NE2000

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Re: cartesian eqn help
« Reply #7 on: September 09, 2009, 08:56:24 pm »
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Can't see LaTeX :S
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TrueTears

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Re: cartesian eqn help
« Reply #8 on: September 09, 2009, 08:58:13 pm »
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Damn. That sucks.
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kamil9876

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Re: cartesian eqn help
« Reply #9 on: September 09, 2009, 09:02:55 pm »
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Nah there's another way kamil did it in another thread, I just forgot.

EDIT: can anyone else see LaTeX? It's not showing up for me =S

http://vcenotes.com/forum/index.php/topic,15142.msg162335.html#msg162335
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."

QuantumJG

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Re: cartesian eqn help
« Reply #10 on: September 14, 2009, 08:22:31 pm »
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r(t)=(e^t+e^(-t))i + (e^t-e^(-t))j

12B q11 c from Essentials

sinh (shine) and cosh (cosh) are called hyperbolic functions (since sinh^2(x) - cosh^2(x) = 1 - equation of a hyperbola), these are just as easy to remember as sin^2(x) + cos^2(x) = 1.

But basically with these parametric equations i is the basis for the x-axis and j is the basis of the y-axis.

You could try another method to solve for these parametric equations but they are the hyperbolic trig functions.
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