CONVERTING POLAR COORDINATES TO RECTANGULAR COORDINATES WORKSHEET

Find the rectangular coordinates of the point with polar coordinates.

Problem 1 :

(4, 4π/3)

Problem 2 :

(3, 315°)

Problem 3 :

(-5, -π/6)

Problem 4 :

(6, π)

Problem 5 :

(1/2, 3π/4)

Problem 6 :

(-2, π/6)

Problem 7 :

(10, π/3)

Answer Key

1) So, the rectangular coordinate is (-2, -2√3).

2) So, the rectangular coordinate is (3√2/2, -3√2/2).

3) So, the rectangular coordinate is (-5√3/2, 5/2).

4) So, the rectangular coordinate is (-6, 0).

5) So, the rectangular coordinate is (-√2/4, √2/4).

6) So, the rectangular coordinate is (-√3, -2).

7) So, the rectangular coordinate is (5, 5√3).