Question Detail
Question
∫dx/(1-cosx)
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using 1-cosx=2sin²(x/2): ∫dx/[2sin²(x/2)] = ½∫csc²(x/2)dx = -cot(x/2)+C.
Hint
Use the half-angle identity 1-cos x = 2sin²(x/2) to simplify the denominator.