SOLUTION: Convert to rectangular: ϴ = 2π/3 A) y = -√3 B) y = -√3x C) x = √3 D) x = -3√y

Algebra ->  Test -> SOLUTION: Convert to rectangular: ϴ = 2π/3 A) y = -√3 B) y = -√3x C) x = √3 D) x = -3√y       Log On


   

Question 1079674: Convert to rectangular: ϴ = 2π/3
A) y = -√3
B) y = -√3x
C) x = √3
D) x = -3√y

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

reminder:
The rectangular coordinates (x , y) and polar coordinates (R , t) are related as follows:
x=+r%2Acos%28theta%29
y=+r%2Asin%28theta%29
r%5E2+=+x%5E2+%2B+y%5E2+ and tan%28+theta%29+=+y+%2F+x

if
theta+=+2pi%2F3, we have
tan%28+theta%29+=+y+%2F+x
tan%28+2pi%2F3%29+=+y+%2F+x
-sqrt%283%29+=+y%2Fx
y=-sqrt%283%29%2Ax+

so, your answer is: B) y = -√3x