Question

Let P(x)=cos²x+sin⁴x,for any x∈R.Then which of the following options is correct for all x?

• A. \(\frac{1}{6}\leq P(x)\leq\frac{3}{4}\)
• B. \(0\leq P(x)\leq\frac{1}{2}\)
• C. 0≤P(x)≤1
• D. \(\frac{1}{2}\leq P(x)\leq\frac{3}{2}\)
• E. \(\frac{3}{4}\leq P(x)\leq1\)

Answer 1

Answer: (E)

The correct option is (E): \(\frac{3}{4}\leq P(x)\leq1\)