# Cylindrical coordinate convertion

1. Jun 29, 2010

### alexmolinavr6

1. The problem statement, all variables and given/known data
cylindrical coordinates: r=2cscƟ, give both rectangular and spherical cordinates

2. Relevant equations
I know this:
From rectangular to cylinder
z=z r2=x2+y2 tanƟ=y/x
From Cyl to rectangle
x=cosƟ y=sinƟ z=z
From cyl to spherical
Ɵ=Ɵ ρ2=x2+y2+z2 ɸ=sin-1r/ρ
From Spherical to cylindrical
Ɵ=Ɵ r=ρsinɸ z=ρcosɸ

3. The attempt at a solution
so far what I have is
r=2/sinƟ

2. Jun 29, 2010

### Staff: Mentor

So r sinƟ = 2

3. Jun 29, 2010

### alexmolinavr6

yes but I need to find
x
y
z
r
Ɵ
ρ
ɸ

4. Jun 29, 2010

### Staff: Mentor

What does the equation r sinƟ = 2 represent geometrically?

5. Jun 29, 2010

### alexmolinavr6

im not sure, what i know is that 1/sinƟ = cscƟ. and since in the conversions i have "sin"
thats why I replaced r=2cscƟ with r=2/sinƟ
someone elso solved for 2 and got rsinƟ=2

6. Jun 29, 2010

### alexmolinavr6

im not sure, what i know is that 1/sinƟ = cscƟ. and since in the conversions i have "sin"
thats why I replaced r=2cscƟ with r=2/sinƟ
someone else solved for 2 and got rsinƟ=2

7. Jun 29, 2010

### Staff: Mentor

What can you replace rsinƟ with? BTW your conversion formulas from cylindrical to rectangular are wrong.

8. Jun 29, 2010

### alexmolinavr6

ok
x=rcosƟ y=rsinƟ

9. Jun 29, 2010

### alexmolinavr6

y=2
ok, i'm getting somewhere

Last edited: Jun 29, 2010
10. Jun 29, 2010

### Staff: Mentor

Yes, you have now partially answered my question in post 4. What does y = 2 represent geometrically?