Answer:
(1-sin(x))/(1+cos(x)) = (csc(x) - 1)(csc(x) - cot(x))
Step-by-step explanation:
(1 - sin(x)) / (1+cos(x)) =
[ (1-sin(x))/ (1+cos(x)) ] * (1-cos(x))/(1-cos(x)) =
(1-sin(x))(1-cos(x)) / (1 - cos^2(x)) =
(1-sin(x))(1-cos(x)) / (sin^2(x)) =
[ (1-sin(x)) / sin(x) ] * [ (1 - cos(x)) / sin(x) ] =
(csc(x) - 1)(csc(x) - cot(x))
