Answer:
we get rectangular coordinates,
x= [tex]\frac{3}{2}[/tex]
y = [tex]\frac{-3√3}{2}[/tex]
Step-by-step explanation:
We have given,
Polar coordinates ,P = (r , θ) = (3 , [tex]\frac{-pi}{3}[/tex] )
We nee to find rectangular coordinates:
Since , x =rcosθ and y = rsinθ
i.e x = 3cos(frac{-pi}{3}[/tex]) = 3×[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]
And y = 3sin(frac{-pi}{3}[/tex]) = 3×[tex]\frac{-√3}{2}[/tex] = [tex]\frac{-3√3}{2}[/tex]
Hence we get rectangular coordinates,
x= [tex]\frac{3}{2}[/tex]
y = [tex]\frac{-3√3}{2}[/tex]
