cos

+ cos2

= p
sin

+ sin2

= q
Squaring and adding the equations, we get
p
2+q
2 = 2+2(cos

cos2

+sin

sin2

) = 2+2cos

Hence cos

= p
2+q
2/2 - 1
Let p2+q2 = 2m
Hence cos

= m-1
cos2

= 2(m-1)
2 - 1 = 2m
2 -4m+1
From eqn 1,
cos

+ cos2

= p
Hence 2m
2-3m = p where m = p
2+q
2/2 thus eliminating

sorry sboosy, I didnt know you were on to this one!