1.

The maximum value of \(f(x) = 3{\cos ^2}x + 4{\sin ^2}x + \cos \frac{x}{2} + \sin \frac{x}{2}\) is:

A. 4
B. 3 + √2
C. 4 + √2
D. 5 + √2
Answer» D. 5 + √2


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