HELP PLEASE 2 pts Convert the Cartesian coordinates below to

HELP PLEASE!!!!

(2 pts) Convert the Cartesian coordinates below to polar coordinates. Give an angle in the range 0

Solution

only 1 question at a time please

A)
r= sqrt ((-7/2)^2 +(7*sqrt(3)/2)^2 )
= sqrt (49/4 + 147/4)
   = 7

thetha = atan (-7*sqrt(3)*2/7*2) = atan (-sqrt(3))
               = 2pi/3
It lies in 2nd quadrant as x is negative and y is positive

Answer: (7,2pi/3)

B)
r = 7
thetha = atan (-sqrt(3))
               = 5*pi/3

It lies in 4th quadrant as x is positive and y is negative
Answer: (7,5pi/3)