Question Detail

MTH 101 MTH 101 Past Questions Objective Question
Take CBT

Question

What is (1-cosx)/sinx = ?
Options
A csc x - cot x
Correct Answer
B csc x - cot x
C csc x + cot x
D csc x - cot x + 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

(1-cosx)/sinx = cscx - cotx. This can be derived: cscx - cotx = 1/sinx - cosx/sinx = (1-cosx)/sinx. Alternatively, using half-angle formulas: 1-cosx = 2sin²(x/2), sinx = 2sin(x/2)cos(x/2), so (1-cosx)/sinx = tan(x/2) = cscx - cotx.

Hint

Rewrite in terms of sine and cosine and simplify.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 392 of 696
Previous Course Details Next