Final answer:
To write the wave function r(t) = (g sin t)i + (g cos t) j + htk in the form aTT + aNN, we separate the components and rewrite it as aT^Ti + aN^Nj, where aT = g sin(t) and aN = g cos(t) + ht.
Step-by-step explanation:
The given question asks to write the wave function in the form aTT + aNN without finding T and N. The given wave function can be written as r(t) = (g sin(t))i + (g cos(t))j + htk. To write it in the required form, we can separate the i, j, and k components and rewrite it as aT^Ti + aN^Nj, where aT = g sin(t) and aN = g cos(t) + ht.