Posted by **Kate** on Thursday, May 16, 2013 at 11:26am.

Can you check my work, please? This is for a trig study guide for my final next week. I'd like to know if I'm doing this right. :)

2. The polar coordinates of a point are given. Find the rectangular coordinates of each point.

a. (5,(π / 4))

b. (-2,(π / 6))

Answer:

a. x = M cos θ

x = 5(cos π/4)

x = 5(0.707)

x = 3.535

y = M sin θ

y = 5(sin π/4)

y = 5(0.707)

y = 3.535

(5,(π / 4)) = (3.535, 3.535)

b. x = M cos θ

x = -2(cos π/6)

x = -2(0.866)

x = -1.732

y = M sin θ

y = -2(sin π/6)

y = -2(0.5)

y = -1

(-2,(π / 6)) = (-1.732, -1)