# What is the polar form of #(11,-8)#?

##### 1 Answer

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#### Explanation:

Polar coordinates are expressed in the form (r, θ), where r is the distance from the origin to the point in question, and θ is the angle measured counterclockwise from the positive x-axis. From your question, I assume you have a handle on Cartesian coordinates.

Plot the point (11,-8) and then draw a line from the origin to that point. Use the Pythagorean Theorem to calculate the length of this line segment. The answer,

Then, find θ using some basic trig (again, I'm assuming you have a good grasp of the primary trig ratios and how to use them in right triangles). From your drawing, you should see that the angle clockwise from the positive x-axis to your line segment is equal to