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In this video I go over another quick example on polar coordinates and show how we can quickly write the point (2, pi/3) to Cartesian coordinates. In polar coordinates, the point has r = 2 and an angle of pi/3, which when plotted onto a Cartesian, or basic x-y axis, coordinate system we can visually see a right angle triangle in which the length of the sides are x, y, and a hypotenuse of r. We can then use the Pythagorean theorem, as well as the exact trig ratios from my previous video to obtain exact values for the x and y values. The resulting coordinates in Cartesian form are (1, sqrt(3)). This is a great example to illustrate how to quickly jump from polar to Cartesian coordinates, and in my next video I will show how to jump from Cartesian to polar so stay tuned!

Polar Coordinates playlist

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Polar Coordinates

Example 2: Polar to Cartesian

Convert the point (2 , π/3) from polar to Cartesian coordinates.

Solution: