Convert the rectangular coordinates into polar coordinates (-5,-5sqrt3)
Point C has rectangular coordinates (-12,5). Convert this to polar coordinates
To convert rectangular coordinates to polar coordinates, you can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y / x)
Given the rectangular coordinates (-5, -5√3), we can find the polar coordinates using these formulas.
1. Calculate r:
r = √((-5)^2 + (-5√3)^2)
= √(25 + 75)
= √100
= 10
2. Calculate θ:
θ = arctan((-5√3) / (-5))
= arctan(√3)
≈ 60°
So, the polar coordinates corresponding to the rectangular coordinates (-5, -5√3) are (10, 60°).
r^2 = (-5)^2 + (-5√3)^2
= 25 + 75 = 100
r = 10
tanØ = -5√3/-5 = √3
Ø = 60°
so what do you think?