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What is the maximum value of X = 8sin x + 6cos x + 11?
1. 21
2. 19
3. 20
4. 22

1 Answer

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Best answer
Correct Answer - Option 1 : 21

GIVEN:

X = 8sin x + 6cos x + 11

FORMULA USED:

CALCULATION:

X = 8sin x + 6cos x + 11

Suppose, X = α + 11

Here, α = 8sin x + 6cos x

⇒ αmax = √(82 + 62)

⇒ αmax = √(100)

⇒ αmax = 10

According to question –

⇒ Xmax = αmax + 11

⇒ Xmax = 10 + 11

⇒ Xmax = 21

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