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

Question

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

grindweg1v · Accepted Answer

Step 1Polar 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,             185       , is your r value.Then, find   θ using some basic trig (again, I&#039;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       tan          −      1        ⁡      8    11   or approximately 36 degrees. In order to find the angle counterclockwise from the positive x-axis (as mathematicians virtually always do), subtract 36 from 360. The difference, 324, is your value for   θ . Hence the polar coordinates you&#039;re looking for are   (      185    ,     324  )

What is the polar form of <mstyle displaystyle="true"> ( 11 ,

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