Question Detail
Question
If θ is said to be an acute angle, and 4cosθ - 1 = 0, then what is the value of tan(θ-15°)?
Correct Answer
Option C is the correct answer.
Detailed Explanation
4cosθ - 1 = 0 → cosθ = 1/4. For an acute angle, cosθ = 1/4 means θ ≈ 75.5°. Then tan(θ-15°) = tan(60.5°) ≈ 1.74.
Hint
Find θ first, then evaluate tan(θ-15°).