Helpp! Convert the polar eqn to rectangular form please:) r^2=8/(2-sin^2(feta))
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OpenStudy (amistre64):
new pic .... nice :)
OpenStudy (anonymous):
\[r ^{2}=8\div(2-\sin ^{2}\Theta)\]
OpenStudy (amistre64):
r^2 = x^2 + y^2 is good to keep in mind; whether its useful of not I dunno
OpenStudy (anonymous):
thnks:)
OpenStudy (amistre64):
y = r sin(t) is aother .....
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OpenStudy (anonymous):
amistre always the flirt....but i dont think sanhitha u can get right answers if u befuddle us with gorgeous pics:)
OpenStudy (anonymous):
haha..tht wasnt rlly my intention..was gettin tired of lookin at tht lil bird..lol
OpenStudy (anonymous):
(x^2 + y^2)^2 = 8/ (2 - y^2/(x^2+y^2))
OpenStudy (amistre64):
lol .... the testosterone clouds the reasoning and him goes all primal lol
OpenStudy (anonymous):
o goddd
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OpenStudy (anonymous):
stay on topic u guys
OpenStudy (amistre64):
umm... what was the topic again ;)
OpenStudy (anonymous):
Just multiply it over giving r^2(2-sin^2(theta))=8
2r^2-r^2sin^2(theta)=8
2x^2+2y^2-y^2=8
2x^2+y^2=8
OpenStudy (amistre64):
r2=8÷(2−sin2Θ)
2- sin^2 = 8/r^2 .... yeah like that
OpenStudy (anonymous):
Start by multyplying both sides by \(2-\sin^2\theta\), you get \(2r^2-r^2\sin^2\theta=8 \implies 2x^2+2y^2-y^2=8\). So the equation in rectangular form is \(2x^2+y^2=8\).
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OpenStudy (anonymous):
ohh..so we basically cant have any trig in our rectangular eqn..n sin^2 is just uhh..squaring the r?..sry im not so good with this stuff
OpenStudy (anonymous):
never mind wat i jus said
OpenStudy (anonymous):
see didnt i tell u
OpenStudy (anonymous):
wat did u tell me?
OpenStudy (anonymous):
so its 2x^2 +y^2=8?
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OpenStudy (anonymous):
just replace r^2 by x^2 + y^2
OpenStudy (anonymous):
and sin theta by
y/ sqrt (x^2 + y^2)
OpenStudy (anonymous):
but sin^2 theta wud b y^2/x^2+y^2
OpenStudy (anonymous):
\[(x^{2} + y^{2})(2 - y^2/(x^2 + y^2))\]
OpenStudy (anonymous):
= 8
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OpenStudy (anonymous):
ur right
OpenStudy (anonymous):
ohhok..gotcha! thanks a lot u all!:)
OpenStudy (anonymous):
btw is that really you or some actress in the pic? :)
OpenStudy (amistre64):
i got this pic on ebay ;)
OpenStudy (anonymous):
hahah...u think it looks lik an actress??
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OpenStudy (anonymous):
definitely...one who makes my knees weak even with a minuscule picture that it is ;)
OpenStudy (anonymous):
u did?!?!
OpenStudy (amistre64):
yep; only paid 126.32 cents for it ;)
OpenStudy (amistre64):
i dont recall why I wanted it tho lol
OpenStudy (anonymous):
didnt kno it was on ebay! lolol
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OpenStudy (anonymous):
u indian?
OpenStudy (amistre64):
nah, italian
OpenStudy (anonymous):
do i look lik 1?
OpenStudy (anonymous):
ur name suggests
OpenStudy (anonymous):
yup
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OpenStudy (anonymous):
where in south india?
OpenStudy (anonymous):
i dont liv der..nri
OpenStudy (anonymous):
oh..thats explain the bonny nature
OpenStudy (anonymous):
bonny??
OpenStudy (anonymous):
means beautiful..old irish term
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