(1 + cosO)(1 + cosO) + sin0 / sin0( 1 + cosO )
1 + 2cos0 + cos0^2 + sin0^2 / sin0( 1 + cosO )
1 + 2cos0 + 1 / sin0( 1 + cosO ) take note cos0^2 + sin0^2 = 1
2 + 2cos0 / sin0( 1 + cosO )
2( 1 + cosO ) / sin0( 1 + cosO )
2/ sin0
(1 + cosO)(1 + cosO) + sin0 / sin0( 1 + cosO )
1 + 2cos0 + cos0^2 + sin0^2 / sin0( 1 + cosO )
1 + 2cos0 + 1 / sin0( 1 + cosO ) take note cos0^2 + sin0^2 = 1
2 + 2cos0 / sin0( 1 + cosO )
2( 1 + cosO ) / sin0( 1 + cosO )
2/ sin0