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Question

f(x)=sin4x+cos4x+5, then f(x)

A
2
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B
3
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C
6
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D
7
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Solution

The correct option is D 6

f(x)=sin4x+cos4x+5


=(sin2x+cos2x)22sin2xcos2x+5


=1+5(sin2x)22


f(x)=6(sin2x)22


range of (sin2x)2ϵ[0,1]


range of f(x)ϵ[112,6]


f(x)6


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