Question

Convert the polar equations
r=6 Cos 4 θ

Answer 1

multiply both sides wid \(r\)

Answer 2

\(r^2 = 6r\cos 4\theta \)

Answer 3

\(x = r\cos 4\theta\)
\(y = r\sin 4\theta\)
\(r^2 = x^2 + y^2\)

Answer 4

the equation becomes :
\(x^2 + y^2 = 6x\)

Answer 5

Thank u

Answer 6

np :)

Answer 7

ive got second thoughts on this

Answer 8

looks i messed it up,
@ikram002p help plz

Answer 9

@Diana97 i think we cannot simpify like that.

Answer 10

the answer wud be :

\(x^2 + y^2 = 6\cos (4*\tan^{-1}(y/x))\)

Answer 11

it wont simplify i believe.