# Precalculus Examples

Use the conversion formulas to convert from polar coordinates to rectangular coordinates.

Substitute in the known values of and into the formulas.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

Evaluate to get .

Multiply by to get .

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

Evaluate to get .

Multiply by to get .

Multiply by to get .

The rectangular representation of the polar point is .