Equations for normal, osculating, and rectifying planes

[cue928]

We are being asked to find the eq's for normal, osculating, and rectifying planes for the following equation:
r(t) (cos t)i + (sin t)j - k @ t=pi/4
I have already found the following:
T(pi/4) = (-√2/2)i + (√2/2)j = 0k

N(pi/4) = (-√2/2)i + (-√2/2)j + 0k

B = 0i + 0j + k

But, I don't know where to start for those three equations.

 

[Mark44]

We are being asked to find the eq's for normal, osculating, and rectifying planes for the following equation:
r(t) (cos t)i + (sin t)j - k @ t=pi/4

Should be r(t) = ...

I have already found the following:
T(pi/4) = (-√2/2)i + (√2/2)j = 0k

Should be T(pi/4) = (-√2/2)i + (√2/2)j + 0k

Note that I didn't check your math, just obvious typos.

N(pi/4) = (-√2/2)i + (-√2/2)j + 0k

B = 0i + 0j + k

But, I don't know where to start for those three equations.

Try this link to a wikipedia page that discusses these planes- http://en.wikipedia.org/wiki/Frenet–Serret_formulas. You have all three vectors, so getting an equation of any of the three planes should be easy, since you have a normal to the plane and can easily get the point that's on all three planes (the point at r(pi/4)).