SOLUTION: someone help please. Convert the equation r=12/(3cos theta+4sin theta) from polar form to rectangular form. Thank you.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: someone help please. Convert the equation r=12/(3cos theta+4sin theta) from polar form to rectangular form. Thank you.       Log On


   

Question 1113136: someone help please. Convert the equation r=12/(3cos theta+4sin theta) from polar form to rectangular form. Thank you.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
In this equation, replace  r = sqrt%28x%5E2+%2B+y%5E2%29,  x = r%2Acos%28theta%29,  y = r%2Asin%28theta%29.  Then you will get


r = 12%2F%28%283x%2Fr%29+%2B+%284y%2Fr%29%29  ====>  r = %2812%2Ar%29%2F%283x+%2B+4y%29  ====>  1 = 12%2F%283x+%2B+4y%29  ====>  3x + 4y = 12.

Answer.   3x + 4y = 12.   Straight line equation.