Question
Download Solution PDFWhat is the minimum value of 6 - 4 sin θ, 0 ≤ θ ≤ \(\frac{\pi}{2}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
-1 ≤ sin θ ≤ 1 When θ ∈ [0, π/2]
Calculation:
f(θ) = 6- 4 sin θ
To make it minimum, (4 sinθ) should be maximum.
Since, θ ∈ [0 ,π/2]
Maximum value of sin θ = 1
f(θ)min = 6 - 4 × 1 = 2
∴ Minimum value of 6- 4 sin θ is 2.
Last updated on May 29, 2025
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