Question

Find the value of \[ \sin 12^\circ \sin 48^\circ \sin 54^\circ \]

• A. \( \frac{1}{2} \)
• B. \( \frac{1}{4} \)
• C. \( \frac{1}{6} \)
• D. \( \frac{1}{8} \)

Hint:

Use trigonometric identities to simplify and calculate trigonometric products.

Answer 1

The Correct Option is D

Step 1: Use trigonometric identities.
We use the known values of trigonometric functions for the angles \( 12^\circ \), \( 48^\circ \), and \( 54^\circ \) to calculate the product.
Step 2: Conclusion.
Thus, the value of the product is \( \frac{1}{8} \).
Final Answer: \[ \boxed{\frac{1}{8}} \]