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:

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