Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

What is (1 - cos x)/sin x?
Options
A tan x
B cot x
C csc x + cot x
D csc x - cot x
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Rewrite the expression: (1 - cos x)/sin x = 1/sin x - cos x/sin x = csc x - cot x. Hence, the correct identity is csc x − cot x.

Hint

Split the fraction into two terms over sin x.

Question Info