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Question

Question: The minimum value of \(3\sin\theta + 4\cos\theta\) is...

The minimum value of 3sinθ+4cosθ3\sin\theta + 4\cos\theta is

A

5

B

1

C

3

D

– 5

Answer

– 5

Explanation

Solution

Minimum value of (3sinθ+4cosθ)(3\sin\theta + 4\cos\theta) is 32+42- \sqrt{3^{2} + 4^{2}}i.e., –5.