(sin α)/(1+ cos α) + (1 + cos α)/(sin α)
= (sin α)/(1+ cos α) + (sin α(1 + cos α))/(sin α)
= (sin α)/(1+ cos α) + (sin α + sin α cos α)/(sin α)
= (sin α)/(1+ cos α) + 1 + cos α
= (sin α)/(1+ cos α) + (1+ cos α)/(1+ cos α)
= (sin α + 1 + cos α)/(1+ cos α)
= (sin α + cos α + 1)/(1+ cos α)
(sin α)/(1+ cos α) + (1 + cos α)/(sin α)
= (sin α)/(1+ cos α) + (sin α(1 + cos α))/(sin α)
= (sin α)/(1+ cos α) + (sin α + sin α cos α)/(sin α)
= (sin α)/(1+ cos α) + 1 + cos α
= (sin α)/(1+ cos α) + (1+ cos α)/(1+ cos α)
= (sin α + 1 + cos α)/(1+ cos α)
= (sin α + cos α + 1)/(1+ cos α)