2023 · Q49
What is the minimum value of 6 - 4 sin θ, 0 ≤ θ ≤ (π )/(2)
Elementary MathematicsTrigonometry
- A1
- B2
- C4
- D6
Explanation
On [0, π/2], sinθ increases from 0 to 1, so 6 − 4sinθ decreases from 6 to 2. Its minimum value is 6 − 4(1) = 2 (B).
What is the minimum value of 6 - 4 sin θ, 0 ≤ θ ≤ (π )/(2)
Explanation
On [0, π/2], sinθ increases from 0 to 1, so 6 − 4sinθ decreases from 6 to 2. Its minimum value is 6 − 4(1) = 2 (B).