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Question

Mathematics Question on Trigonometric Functions

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

A

16P(x)34\frac{1}{6}\leq P(x)\leq\frac{3}{4}

B

0P(x)120\leq P(x)\leq\frac{1}{2}

C

0≤P(x)≤1

D

12P(x)32\frac{1}{2}\leq P(x)\leq\frac{3}{2}

E

34P(x)1\frac{3}{4}\leq P(x)\leq1

Answer

34P(x)1\frac{3}{4}\leq P(x)\leq1

Explanation

Solution

The correct option is (E): 34P(x)1\frac{3}{4}\leq P(x)\leq1