Question

In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying r >= 0 and 0 <= θ < 2π , and the second pair satisfying r >= 0 and -π < θ <= π .
(a) (-5,0)
(b) (0,-2)

Answer 1

let clear question please.

Answer 2

me*

Answer 3

point (1,2) in rectangular coordinates can be written in polar coordinates in two ways
1) calculate r
\(r = \sqrt{x^2 + y^2} \)
2) calculate \( \theta \)
\( \theta = \arctan{y/x}\) <--- theta can be negative or positive here

now write it as \((r,\theta) \) or as \((-r,-\theta) \)

Answer 4

@experimentX I know this but don't know how to satisfy conditions friend.

Answer 5

a)
r=5
and
θ=0 rad

Now what to do with conditions?

Answer 6

what are a)s and b)'s ??

Answer 7

I have posted a)s and b)'s

Answer 8

A is correct 0 <= 0

Answer 9

You mean r=5 and θ=0 rad is correct for part (a)?

Answer 10

yea ...

Should have been like that ...

Answer 11

How can I satisfy conditions. I am just confusing about this dear. What to do for conditions?

Answer 12

You made it like that, which makes r negative.