Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Evaluate (cosec θ - cot θ)(cosec θ + cot θ).
Options
A 0
B 1
Correct Answer
C 2
D 3
Correct Answer

Option B is the correct answer.

Detailed Explanation

(cosec θ - cot θ)(cosec θ + cot θ) = cosec²θ - cot²θ. Using the identity cosec²θ = 1 + cot²θ, we get cosec²θ - cot²θ = 1.

Hint

Use the difference of squares formula and trigonometric identities.

Question Info