Posted by Alex on .
Find the corresponding rectangular coordinates for the polar point (4, /6).

calc 
Kris,
Is that supposed to be (4, ƒÎ/6)?
If so, you would use this formula:
x = rcosӨ
y = rsinӨ
x = 4cos(ƒÎ/6)
y = 4sin(ƒÎ/6)
ƒÎ/6 on the unit circle is the same as 11ƒÎ/6. The cosine (or xvalue) for this angle is ã3/2, and the sine (or yvalue) for this angle is 1/2.
x = 4(ã3/2)
y = 4(1/2)
x = 2ã3
y = 2
Your answer is:
(2ã3, 2)