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Question

f(x)=asinx+2cosxsinx+cosx is increasing for xϵR,then a ϵ



A

(0, 2)

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B

(2, ∞)

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C

(-∞ ,2)

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D

(-2, 2)

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Solution

The correct option is C

(2, ∞)


f(x)>0(a2)(sinx+cosx)2>0a>2


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