What is the value of $\cos^2 \theta + \frac{1}{1 + \cot^2 \theta}$?

Options:

• A: $0$
• B: $1$
• C: $\sin^2 \theta$
• D: $\cos^2 \theta$

Related Practice Questions:

• Why is copper considered highly pure and extensively used in religious rituals by Hindus today according to the historical context of natural resources?
• Which of the following regions is described by R.S. Sharma as "the most coveted and contested area" fought over by important ruling powers in northern India?
• Paper currency was not used in ancient India. In which century was paper currency finally introduced to India?
• The earliest agricultural settlements and states in ancient northern India were founded along the Himalayan foothills (the "terai" route) during which period?