Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Select one:
Options
A \(\cos \alpha + \sin \alpha\)
B \(\sin \alpha + \cos \alpha\)
C \(\cos \left(\frac{\pi}{2} - \beta\right) + \sin \left(\frac{\pi}{2} - \beta\right)\)
Correct Answer
D \(\cos \left(\frac{\pi}{2} - \beta\right) - \sin \left(\frac{\pi}{2} - \beta\right)\)
Correct Answer

Option C is the correct answer.

Detailed Explanation

The question is incomplete in the image. However, using cofunction identities: cos(π/2 - β) = sin β, sin(π/2 - β) = cos β. So option C becomes sin β + cos β, which is symmetric with A and B. Without the original expression to simplify, it's impossible to determine. But often such questions simplify to an expression like sin β + cos β, which matches option C.

Hint

Recall cofunction identities: sin(π/2 - θ) = cos θ, cos(π/2 - θ) = sin θ.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 538 of 696
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