Convert the a point in the Cartesian plane to it’s equal polar coordinates with this polar coordinate calculator. Enter the real and imaginary parts a and b and the number of decimals desired and press "Convert to Polar and Exponential". Similar forms are listed to the right. θ is the argument of the complex number. The calculator at the top of this page uses the exact same two equations as listed above. As imaginary unit use i or j (in electrical engineering), which satisfies basic equation i 2 = −1 or j 2 = −1.The calculator also converts a complex number into angle notation (phasor notation), exponential, or polar coordinates (magnitude and angle). Rectangular to Polar Calculator is a free online tool that displays the conversion of the rectangular coordinate to the polar coordinate. Sinusoidal signals with different magnitudes and phases, but the same frequency can be plotted on a phasor diagram; in a phasor diagram, the angular velocity (w) will be the same for all signals. Modulus Argument Type . Cartesian coordinates are a way of display the location of a point in the 2 dimension plane using an X and Y coordinate. There's also a graph which shows you the meaning of what you've found. Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step This website uses cookies to ensure you get the best experience. Find more Mathematics widgets in Wolfram|Alpha. So we can write the polar form of a complex number as: x + y j = r ( cos ⁡ θ + j sin ⁡ θ) \displaystyle {x}+ {y} {j}= {r} {\left ( \cos {\theta}+ {j}\ \sin {\theta}\right)} x+yj = r(cosθ+ j sinθ) r is the absolute value (or modulus) of the complex number. This calculator extracts the square root, calculate the modulus, finds inverse, finds conjugate and transform complex number to polar form.The calculator will … In other words, the radius length acts as the hypotenuse on a triangle with lengths x and y. The idea is to find the modulus r and the argument θ of the complex number such that, z = a + i b = r ( cos(θ) + i sin(θ) ) , Polar formz = a + ib = r eiθ , Exponential formwith r = √ (a2 + b2) and tan(θ) = b / a , such that -π < θ ≤ π or -180° < θ ≤ 180°. -1. x and y are the coordinate points. 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