Question
The range of the function f(x)=cos2x4+sinx4,x ϵ R is
Answer: Option D
:
D
f(x)=1−sin2x4+sinx4=−{sin2x4−sinx4}+1=−{(sinx4−12)2−14}+1
=54−(sinx4−12)2
Maximun f(x)=54
Minimum f(x)=54−(−1−12)2=54−94=−1
Range of f(x)=[−1,54]
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:
D
f(x)=1−sin2x4+sinx4=−{sin2x4−sinx4}+1=−{(sinx4−12)2−14}+1
=54−(sinx4−12)2
Maximun f(x)=54
Minimum f(x)=54−(−1−12)2=54−94=−1
Range of f(x)=[−1,54]
Was this answer helpful ?
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