Convert the following equation into rectangular?

Question

Convert the polar equation r = cos 7Θ.

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Answer 1

You can convert the coordinates from polar to rectangular

x = r cos(7*theta)
y = r cos(7*theta)

Answer 2

Simplify y. y=(3/cscT)-a million=3sinT-a million sinT=(y+a million)/3 Convert x so all variables are sinT. x=2cos^2T-2sin^2T+4 x=2(a million-sin^2T)-2sin^2T+4 x=2-2sin^2t-2sin^2T+4 x=6-4sin^2t Now replace sinT into the above equation. x=6-4((y+a million)/3)^2 x=6-(4/9)(y+a million)^2

Answer 3

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