Trigonometric Expression

[flakine]

Simplify

(1+csc x)/(cos x + cot x)

 

[Gene]

Usually the easiest approach is:
change every thing to sines and cosines.
(1+1/sin(x))/(cos(x)+cos(x)/sin(x))
factor cos(x) out of the denominator and it colapses.

 

[flakine]

You made it look so easy, Thanks!