Eliminate A from each pair of parametric equations x = 3sinA y= 6sin2A

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Eliminate A from each pair of parametric equations x = 3sinA y= 6sin2A

Mathematics
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|dw:1369436912384:dw|
is it like that or is it sin^2A
its sin2A 2sinAcosA

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Other answers:

ok
from x= 3sin(a), what would sin(a) be?
x/3?
.. right... ... is x= 3sin(a), what you have or x = 3cos(a)?
the question is x = 3sinA
ok
Btw, what do you mean by eliminate? Are you to convert this in to a rectangular equation with y in terms of x or are you to have both x and y written in terms of something else that isn't A? @AonZ
write the equation simply without A
@genius12 pretty much, is just conversion to rectangular
So y in terms of x and not A right?
yes
\[\bf x=3\sin(A) \implies \frac{x}{3}=\sin(A) \implies \sin^{-1} \left( \frac{x}{3}\right)=A\]Plug this value of A in y = 6sin(2A) and you're done. @AonZ
|dw:1369437576413:dw|
is that readable
|dw:1369437887196:dw|
lol
well he shudnt get the asnwer too easily so its all good :)
Both @dan815 and mine rectangular forms work. Except his makes it more obvious that cosine and sine can be used parametrically to give an ellipse as dan's rectangular form is the equation of an ellipse.
^ true
right :)
|dw:1369437893899:dw| i dont it get when u went into that part
|dw:1369437924563:dw|
|dw:1369437958849:dw|
Rearrange x and y so that:\[\bf \frac{y}{4x}=\cos(A) \ and \ \frac{x}{3}=\sin(A)\]Squaring both sides of both equations gives:\[\bf \left( \frac{y}{4x} \right)^2=\cos^2(A) \ and \ \left( \frac{x}{3} \right)^2=\sin^2(A)\]Adding both equations and using the identity cos^2(A) + sin^2(A) = 1 gives u the rectangular form. @AonZ
I just realised, @dan815 rectangular form actually won't be an ellipse even thought i looks like it will be lol. There is an x in the denominator under y which means it can't be the equation of an ellipse.
not sure you can get rid of the "x" though, I got the same :S
u dont need to they just want an equation without A
right, so I notice
thank you so much :D understood @genius12 way much better
http://www.wolframalpha.com/input/?i=%28y%2F%284x%29%29%5E2%2B%28x%2F3%29%5E2%3D1
was hard to read dan's writting :P
if u wanna see a nice graph :)
last question :)
just post in the channel, so we can all see it and thus help :)
got a link :P http://openstudy.com/study#/updates/519ff981e4b04449b221f091 but Question is Eliminate A from each pair of parametric equations x = 2tan( A/2) y = cosA
|dw:1369438736058:dw|
2 ways to go from cosa to a/2 or other way, which trig u know
theres also an identity u can use straight from tan to a double angle
|dw:1369439021400:dw|
|dw:1369439046456:dw|
see if that helps
look at the formula for Cos(2a) and that tan^2a either one of those will help you simplify and eliminate a
brb

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