What is the <strong>MINIMUM</strong> value of 6-4\sin\theta, 0 \leq \theta \leq \frac{\pi}{2}?

  1. A. 1
  2. B. 2
  3. C. 4
  4. D. 6

Correct Answer: B. 2

Explanation

To minimize the expression 6-4\sin\theta, the term \sin\theta must be maximized. In the range [0, \pi/2], the maximum value of \sin\theta is 1. Therefore, the minimum value of the expression is 6 - 4(1) = 2.

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