Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If θ is said to be an acute angle, and 4 cos²θ - 1 = 0, then what is the value of tan(θ - 15°)?
Options
A 0
B \(\sqrt{2}\)
C 1
Correct Answer
D \(\frac{1}{\sqrt{3}}\)
Correct Answer

Option C is the correct answer.

Detailed Explanation

4 cos²θ = 1 ⇒ cos²θ = 1/4 ⇒ cosθ = 1/2 (since acute). So θ = 60°. Then tan(60° - 15°) = tan45° = 1.

Hint

Solve for θ first, then substitute.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 623 of 696
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