Given `A=sin^2theta+cos^4theta,` then for all real `theta,` (a)`1lt=Alt=2` (b) `3/4lt=Alt=1` (c)`(13)/(16)lt=Alt=1` (d) `3/4lt=Alt=(13)/(16)`

Explanation

To solve the problem, we need to analyze the expression \( A = \sin^2 \theta + \cos^4 \theta \) and find its range for all real values of \( \theta \).

### Step-by-Step Solution:

1. **Rewrite the expression**:
We start with the expression:
\[
A = \sin^2 \theta + \cos^4 \theta
...