# Solve the following

Question:

If $\mathrm{A}=\sin ^{2} \mathrm{x}+\cos ^{4} \mathrm{x}$, then for all real $\mathrm{x}:-$

1. $1 \leq A \leq 2$

2. $\frac{3}{4} \leq \mathrm{A} \leq \frac{13}{16}$

3. $\frac{3}{4} \leq A \leq 1$

4. $\frac{13}{16} \leq \mathrm{A} \leq 1$

Correct Option: , 3

Solution: