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Basic Trigonometric Identities

The minimum v...

Question

The minimum value of 3cosx+4sinx+5 is

[MNR 1991]

A

5

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B

9

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C

7

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D

0

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Solution

The correct option is D
0

The minimum value of 3 cos x + 4 sin x is - $\sqrt{3^{2} + 4^{2}}$ = -5

Hence the minimum value of 3 cos x + 4 sin x + 5

= -5 + 5 = 0

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