Question

The maximum value of $4\sin^{2}x + 3\cos^{2}x$ is

• A. 3
• B. 4
• C. 5
• D. 7

Answer 1

Answer: (B)

4

Answer 2

$f(x) = 4\sin^{2}x + 3\cos^{2}x\sin^{2}x + 3$ and $0 \leq |\sin x| \leq 1$

$\therefore$Maximum value of $\sin^{2}x + 3$ is 4.