Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Simplify \( (\csc x + \cot x)^2 \csc x - \cos x \)
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

Assuming the intended expression is ((csc x + cot x)(csc x - cot x))/csc x, which simplifies to (csc² x - cot² x)/csc x = 1/csc x = sin x. However, the given expression in the image is unclear. Based on the options and common simplifications, sin y is the likely result.

Hint

Use the identity csc²θ - cot²θ = 1 and simplify.

Question Info