Question Detail
Question
Simplify \(\frac{(\csc y + \cot y)(\csc y - \cot y)}{\csc y}\)
Correct Answer
Option B is the correct answer.
Detailed Explanation
(csc y + cot y)(csc y - cot y) = csc² y - cot² y = 1 (using the identity csc²θ - cot²θ = 1). Then the expression becomes 1 / csc y = sin y.
Hint
Use the difference of squares and the Pythagorean identity csc²θ - cot²θ = 1.