# Math Help - spherical coordinates

1. ## spherical coordinates

does anyone know how to plot (6, 11pi/12, 0) ? i tried transforming it to rectangular coordinates and got (0,0,1/2) is this right?

also, for cylindrical coordinates, how do you plot (3, pi/4, 2)? i'm not sure if i did that one right.

greatly appreciated

2. cylindrical coordinates are : $(r,\theta, z)$ right?

spherical coordinates are: $(\theta, \phi, \rho)$ right?

so in your second question the r = 3, theta = pi/4 and z = 2

r and theta are on the xy plane. You're looking at a point that has a radius 3 and an angle of 45 degrees measured from the x axis. So that's roughly $(\sqrt{1.5},\sqrt{1.5})$ on the x-y plane. Then your Z is your height.

So you just have a point 2 spaces above that.

About your first question if you could be a little clearer, it seems like it should also be cylindrical but you named the thread as "spherical" coordinates.

3. (6, 11pi/12, 0)

in rect coord x= psin(phi)cos(theta) =0
y= psin(phi)sin(theta) = 0
z= pcos(phi) = 6cos(0) = 6

For (3, pi/4, 2) See attachment

4. whoa, what'd you use to generate that image?

5. spherical are listed ( p,theta,phi)

disappoiningly I just used paintbrush

6. whoa thanks! so in your picture is the point the part in towards the bottom right?

7. See attachment

8. yay thank you thats where i had it i think i'm finally getting the hang of this!