Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Evaluate sin(-225°) without the use of e-calculator or figures tables.
Options
A \(\frac{\sqrt{2}}{2}\)
Correct Answer
B \(\frac{\sqrt{3}}{2}\)
C \(\sqrt{3}\)
D \(\frac{\sqrt{3}}{3}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

sin(-225°) = -sin(225°). 225° = 180°+45°, sin(225°) = -√2/2. So -(-√2/2) = √2/2.

Hint

Use sin(-θ) = -sinθ, then find reference angle.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 626 of 696
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