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trigonometry

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convert the polar equation r^2=2cos^2theta + 3sin^2theta into a rectangular equation

  • trigonometry - ,

    Multiply both sides by r^2:
    r^4=r^2(2cos^2(theta)+3sin^2(theta))
    (r^2)^2=2(r*cos(theta))^2+3(r*sin(theta)^2
    (x^2+y^2)^2=2x^2+3y^2

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