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anonymous
 5 years ago
Convert r=1Cos[2x] into rectangular.
I tried using the trig identity of Cos2x which was 12(Cosx)^2, and multiplying r^2 on both sides, but I didn't get anywhere. Help, please?
anonymous
 5 years ago
Convert r=1Cos[2x] into rectangular. I tried using the trig identity of Cos2x which was 12(Cosx)^2, and multiplying r^2 on both sides, but I didn't get anywhere. Help, please?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0r = 1 cos(2x) correct?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0r^2 = r  r cos(2x) right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0cos(2x) = cos^2  sin^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0maybe better like this: r = 1  (cos^2(x)  sin^2(x)) r = 1  cos^2(x) + sin^2(x) r = 1 cos^2 + (1  cos^2) r = 2  2 cos^2 r/2 = = 1 cos^2 r/2 = sin^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0any luck with this? :)

mathmagician
 5 years ago
Best ResponseYou've already chosen the best response.1correct answer is \[(x^2+y^2)^3=4y^4\] rewrite the equation \[r=1\cos(2t)\] to \[r=2\sin^2(t)\] and use identities: \[r^2=x^2+y^2 and \sin(t)=y/r\]
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