How do you convert $r = 3 cos (θ)$ $r=3cos(theta)$ to rectangular form?

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How do you convert $r = 3 cos (θ)$ $r=3cos(theta)$ to rectangular form?

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Answer 1 · 2016-04-14T10:42:03

In rectangular form the equation is $x^{2} + y^{2} = 3 \cdot x$ $x^2+y^2=3*x$

Explanation:

We know $r^{2} = x^{2} + y^{2}; x = r \cdot cos θ; y = r \cdot sin θ; θ = {tan}^{- 1} (\frac{y}{x})$ $r^2=x^2+y^2; x=r*cos theta ; y=r*sin theta; theta=tan^-1(y/x)$ $:. r=3*(x/r) or r^2 =3*x or x^2+y^2 =3*x$ [Ans]

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How do you convert $r = 3 cos (θ)$ $r=3cos(theta)$ to rectangular form?

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How do you convert r=3cos(theta)r=3cos(θ)r=3cos(theta) to rectangular form?

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How do you convert $r = 3 cos (θ)$ $r=3cos(theta)$ to rectangular form?