Trigonometry & Inverse Trigonometry
Product Formulas
Grade 11
Question:
<p>The value of \(\sin\left(\frac{\pi}{14}\right)\sin\left(\frac{3\pi}{14}\right)\sin\left(\frac{5\pi}{14}\right)\) is</p>
<p>(a) \(\frac{1}{4}\)</p>
<p>(b) \(\frac{1}{8}\)</p>
<p>(c) \(\frac{7}{4}\)</p>
<p>(d) \(\frac{7}{8}\)</p>
Step-by-Step Solution
Key Concept: Apply product formulas for sine at angles in arithmetic progression related to \(\pi/14\).
<p>Using product-to-sum formulas and properties of sine at specific angles.</p>
Correct Answer: B