Find the state with Sn = li of a spin-1 particle, where n =sin() i +cos() k, by rotating a state with Sz = li by angle () counterclockwise about the y axis using the rotation operator R(()j) = e-i'5'yEJ /h. Suggestion: Use the matrix representation (3.104) for Sy in the Sz basis and expand the rotation operator in a Taylor series. Work out the matrices through the one representing s; in order to see the pattern and show that 1 +cos() sin() 1- cos() 2 h 2 R(ej) + sin () sin () h cos() S2 basis h 1- cos() sin () 1 +cos() 2 h