Find the precession, nutation, and spin Euler angles that yield the following direction cosine matrix: A=\left[\begin{array}{ccr} 0 & 0.57735 & 0.8165 \\ 0.7071 & -0.57735 & 0.40825 \\ 0.7071 &

0.57735 & -0.4082 \end{array}\right]