How do you convert r = 5 cos (t) to rectangular form? Trigonometry The Polar System Converting Between Systems 1 Answer Bdub Mar 3, 2016 r=5cost->r*r=r*5cost->r^2=5rcost->x^2+y^2=5x->x^2-5x+y^2=0->(x-5/2)^2+y^2=25/4 Explanation: Multiply both sides by r then use the formula r^2=x^2+y^2, x=rcostheta to change from polar to rectangular. Put everything on one side and complete the square to find the answer. Answer link Related questions How do you convert rectangular coordinates to polar coordinates? When is it easier to use the polar form of an equation or a rectangular form of an equation? How do you write r = 4 \cos \theta into rectangular form? What is the rectangular form of r = 3 \csc \theta ? What is the polar form of x^2 + y^2 = 2x? How do you convert r \sin^2 \theta =3 \cos \theta into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation 10 sin(θ) to the rectangular form? How do you convert the rectangular equation to polar form x=4? How do you find the cartesian graph of r cos(θ) = 9? See all questions in Converting Between Systems Impact of this question 16712 views around the world You can reuse this answer Creative Commons License