`A = {theta |2cos ^(2)theta + sintheta le 2)}`
`B={theta|pi/2 le theta le (3pi)/2|}`: Find `A cap B`.

Explanation

To solve the problem, we need to find the intersection of the sets \( A \) and \( B \).

### Step 1: Define the sets
- Set \( A = \{ \theta \mid 2 \cos^2 \theta + \sin \theta \leq 2 \} \)
- Set \( B = \{ \theta \mid \frac{\pi}{2} \leq \theta \leq \frac{3\pi}{2} \} \)

### Step 2: Solve the inequality for set \( A \)
We start with the inequality:
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