First slide

Trignometry

Question

What is the maximum value y = 5 sin x -2 $\sqrt{6}$ cos x?

Moderate

A

$5 + 2 \sqrt{6}$
B

7
C

10
D

$5 - 2 \sqrt{6}$

Solution

$Y_{\max} = \sqrt{5^{2} + {(- 2 \sqrt{6})}^{2}} = \sqrt{25 + 24} = \sqrt{49} = 7$

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