Question
Question: The maximum value of 4sin<sup>2</sup> x + 3cos<sup>2</sup>x + \(\sin\frac{x}{2} + cos\frac{x}{2}\)is...
The maximum value of 4sin2 x + 3cos2x + sin2x+cos2xis
A
4+2
B
3+2
C
9
D
4
Answer
4+2
Explanation
Solution
Maximum value of 4sin2x + 3cos2x i.e. sin2x + 3 is 4 and that of sin2x+ cos2x= 2, both attained at
x = π/2.
Hence the given function has maximum value4+2