write each equation in rectangular form 0=-5pi/6

Question

I had y=√3/3x write each equation in rectangular form 0=-5pi/6

Answer 1

y = r sin t

x = r cos t

r sin t = sqrt(3)/3 * r * cos t

r sin t / r cos t = sqrt(3)/3

tan t = sqrt(3)/3

t = arctan ( sqrt(3)/3) = pi/6 for any radius r

Graph them on desmos, y = sqrt(3)/3 x in rectangular coordinates and t = pi/6 = 30 degres

in polar coordinates... you get the same line