Find the derivative of f(x) = cot x / (1 + csc x)

Find the derivative of f(x) = cot x / (1 + csc x)

[BigWakeGuy]

Close, but you'll want to factor the -cscx out. Then we have a trigonometric identity of csc^2-cot^2=1. Now we are left with -cscx(1+cosx) / (1+cosx)^2. Cancel out the (1+cosx)'s and you're left with a much more simplified -cscx / 1+cosx