Question

Find the rectangular coordinates of the point with the polar coordinates: (-2, 5pi/6)

Answer 1

If I am correct, polar coordinates have a radius and an angle so
\[x=r\cos\theta\\
y=r\sin\theta\] You have polar coordinates
\[(r,\theta)=(-2,5\pi/6)\] Then you can find the x and y.

Answer 2

I was thrown off trying to find x

Answer 3

x=-2*cos(5pi/6)
y=-2sin(5pi/6)

Answer 4

so for x you would get 1.9?

Answer 5

I would obtain 1.732 or exactly,
\[x=\sqrt{3}\]

Answer 6

And for y
\[y=-1\]

Answer 7

can you explain how you put it in the calculator

Answer 8

That way,
\[-2\cdot \cos(5\cdot 3.1415/6)\] Remember that your calculator must be in radians.

Answer 9

oh ok Thanks!