Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Simplify (csc y + cot y)(csc y - cot y)/csc y
Options
A cos y
B sin y
Correct Answer
C -sin y
D csc y
Correct Answer

Option B is the correct answer.

Detailed Explanation

(csc y + cot y)(csc y - cot y) = csc²y - cot²y = 1 (since csc²y = 1 + cot²y). Then divided by csc y gives 1/csc y = sin y.

Hint

Use the difference of squares formula and trigonometric identities.

Question Info