Question

The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:

• A. 0
• B. 1
• C. \(\frac{1}{2}\)
• D. \(\frac{1}{\sqrt{2}}\)

Hint:

For any angle \(\theta\), \(\sin^2 \theta + \cos^2 \theta = 1\).

Answer 1

The Correct Option is B

Using the Pythagorean identity \(\sin^2 \theta + \cos^2 \theta = 1\) for any angle \(\theta\), we have: \[ \sin^2 15^\circ + \cos^2 15^\circ = 1 \] Thus, the correct answer is option (2).