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Math Help - converting polar equations into rectangular form

  1. #1
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    converting polar equations into rectangular form

    r =3cos(theta) +sin(theta)

    ok so i did

    r^2= (3cos(theta) +sin(theta))^2

    where do i go from here
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  2. #2
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    Quote Originally Posted by tomatoes View Post
    r =3cos(theta) +sin(theta)

    ok so i did

    r^2= (3cos(theta) +sin(theta))^2

    where do i go from here
     r =3cos(\theta) +sin(\theta)

    multiply each side by r giving

     r^2 =r(3cos(\theta) +sin(\theta))

    now as r^2 = x^2+y^2 the equation becomes

     x^2+y^2 =r\times 3cos(\theta) +r\times sin(\theta)

     x^2+y^2 = 3x +y

     x^2+y^2 - 3x - y = 0
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