convert (-1,squareroot of 3) to polar form.

Question

what would be the end answer when you convert (-1, sqr root of 3) into polar form?

Answer 1

x=-1, y=√3.

Conversion formulas: x=rcosθ, y=rsinθ, so r²=x²+y²=1+3=4, so r=2.

tanθ=y/x=-√3, θ=⅔π. (-1=2cos(2π/3), √3=2sin(2π/3) confirms the conversion).

Polar coords=(2,2π/3)