Question

Find the polar coordinates of each point with the given rectangular coordinates. Use 00. (0,1)

Answer 1

Given point is (x,y) = (0,1)


Use the formulas
\[\Large r = \sqrt{x^2+y^2}\]
\[\Large \theta = \arctan\left(\frac{y}{x}\right)\]


basically the same as before but instead of (a,b) I'm using (x,y)

Answer 2

because x = 0 this means that y/x will be undefined. So the result of arctangent will be either pi/2 or 3pi/2 where tangent is undefined

In this case, (0,1) is above the x axis so the angle is theta = pi/2

Answer 3

oh ok so when x is undefined, theta =pi/2 ?

Answer 4

if x = 0 and y > 0, then theta = pi/2

if x = 0 and y < 0, then theta = 3pi/2

Answer 5

ahh Ok, And @jim_thompson5910 does it again!!!!!
Thanks again.

Answer 6

no problem