Question

Given the point (8,11π/6) in polar coordinates, find the Cartesian coordinates of the point.

Select the correct answer below:


(−4√3,4)
(4√3,−4)
(4,−4√3)
(−4√3,−4)
(−4,4√3)

Answer 1

Answer: b

Step-by-step explanation:Remember that the Cartesian coordinates are given by the formulas

xy=rcosθ=rsinθ

We are told that r=8 and θ=11π6, so we can plug in to find that

x=rcosθ=(8)(cos11π6)=(8)(3‾√2)=4√3

Similarly, we find that

y=rsinθ=(8)(sin11π6)=(8)(−12)=−4

So the final answer is (4√3,−4).