**Converting Between Polar and Rectangular Form**

Given points or equations

**17.30** In the diagram below, point *P* has rectangular coordinates (*x*,*y*) and polar coordinates (*r*,θ). Apply trigonometric ratios to express *x* and *y* in terms of *r* and θ.

Note that the diagram contains a right triangle, so you can apply trigonometric ratios to describe the relationship between *r*, θ, *x*, and *y*.

Cross-multiply to solve the equations for *x* and *y*, respectively.

You ...

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