The minimum value of 3 x + 4 x + 5 is - Vidyadip

MCQ

The minimum value of $3\cos x + 4\sin x + 5$ is

A
$5$
B
$9$
C
$7$
✓
$0$

✓

Answer

Correct option: D.

$0$

d
(d) 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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