What is the value of $\frac{1 - \tan^2 15^\circ}{1 + \tan^2 15^\circ}$?

Options:

• A: $\frac{1}{2}$
• B: $\frac{\sqrt{3}}{2}$
• C: $1$
• D: $\frac{1}{\sqrt{3}}$

Related Practice Questions:

• Which of the following artifacts, extensively found at Burzahom and Gufkral, specifically indicates that the Neolithic inhabitants of Kashmir practiced sewing animal skins for clothing to survive the harsh winters?
• The earliest known evidence of rock art in India, in the form of 'Cupules' (hemispherical cup-shaped depressions carved into rock), belongs to the Lower Paleolithic age and was found at:
• The first human colonization of the fertile Ganga plains, as evidenced by archaeological discoveries at Sarai Nahar Rai and Mahadaha, took place during which period?
• Which prehistoric site located in the Thar Desert of Rajasthan provides a continuous and undisturbed profile of Lower, Middle, and Upper Paleolithic cultures?