Question

\(\sin 15^\circ \sin 45^\circ \sin 75^\circ =\)

• A. \(\frac{\sqrt{2}}{4}\)
• B. \(\frac{\sqrt{2}}{2}\)
• C. \(\frac{\sqrt{2}}{8}\)
• D. \(-\frac{\sqrt{2}}{8}\)
• E. \(-\frac{\sqrt{2}}{4}\)

Hint:

Whenever you see angles like \(15^\circ\) and \(75^\circ\) in a product, always think of the identity \(\sin A \cos A = \frac{1}{2} \sin 2A\). It simplifies the calculation significantly.

Answer 1

The Correct Option is C