Description for Correct answer:
\( \Large \frac{1}{1+tan^{2} \theta }+\frac{1}{1+cot^{2} \theta } \)

\( \Large \frac{1}{1+\frac{sin^{2} \theta }{cos^{2} \theta }}+\frac{1}{1+\frac{cos^{2} \theta }{sin^{2} \theta }} \)

= \( \Large \frac{cos^{2} \theta }{cos^{2} \theta +sin^{2} \theta }+\frac{sin^{2} \theta }{sin^{2} \theta +cos^{2} \theta } \)

\( \Large cos^{2} \theta +sin^{2} \theta =1 \)