Quick Check. This HW seemed a little easier than many of the others, so I wanted to post two 'examples.' This way I can confirm that my process is right without "giving away" all the answers.
For Phi1 = .2, Phi2 = .4 (third row) I got rho1 = .33333 and rho2 = .46666667
For Phi1 = -.2, Phi2 = -.8 (second last row), I got rho1 = -.1111111 and rho2 = -.77777778
If anyone can confirm these values, I'll feel confident that the other 26 are also correct.