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Search Polar Equation Calculator The polar coordinates of a point and the polar coordinate grid Again if the equation is identical to the original equation, then the graph is symmetric over the origin X 30 ) email protected This form is called Cartesianform Especially if you're a student, teacher or engineer, this app is made with you in mind! Explanation Substitute x = rcosθ and y = rsinθ into the equation 25 = x2 y2 = (rcosθ)2 (rsinθ)2 = r2cos2θ r2sin2θ = r2(cos2θ sin2θ) = r2 since cos2θ sin2θ = 1 for any θ So r2 = 25, but we can assume r > 0, henceHere's an example on how we can convert a rectangular coordinate, $ (1, \sqrt {3})$, to its polar form We have $x = 1$ and $y = \sqrt {3}$ Using these values, we can now find the value of $r$ and $\theta$ as shown below $\boldsymbol {x^2 y^2 = r^2}$ $\boldsymbol {\tan \theta = 1 (x-5)^2+y^2=25 in polar coordinates