$$\sin^2 \theta + \frac{1}{1 + \tan^2 \theta} = ?$$​

Correct option is A

Given:

$$\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}$$​
Solution:

$$\left( \sin^2 \theta + \frac{1}{1 + \tan^2 \theta} \right)$$

$$= \left( \sin^2 \theta + \frac{1}{\sec^2 \theta} \right)$$

$$= \left( \sin^2 \theta + \cos^2 \theta \right)$$

= 1

Thus, the correct answer is (a).