Question

How do you find the rectangular coordinates given the polar coordinates `(-1, -pi/6)`?

Answer 1

Given Polar Coordinates (r,θ), find (rcosθ,rsinθ)
`(-1cos(-pi/6),-1sin(-pi/6))`
`(-sqrt3/2,1/2)`

Explanation:

To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y)
`x = r × cos( θ )`
`y = r × sin( θ )`