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**1. Homework Statement**

Hi, I have the coordinates of an "expression" for a point in a cartesian coordinate system. I'm trying to write it in a polar coordiante system (in function of r and theta) but I don't know how to find the answer

a = y-component of the point

b = x-component of the point

theta = angle between the y-axis and a line connecting the point with the origin

r = distance from the origin till the point

**2. Homework Equations**

the expression which I would like to write in a polar coordinate system is:

a.sin(theta) + b.cos(theta)

The result should be:

r.sin(theta).cos(theta)

How to get to this result?

**3. The Attempt at a Solution**