Question

In a triangle ABC, if \( a = 2 \), \( \sin A = \frac{2}{3} \), \( B = \frac{\pi}{3} \), then \( \sqrt{5}b - 3c = \):

• A. \(-3 \)
• B. \( 3\sqrt{3} \)
• C. \( \sqrt{5} - \sqrt{3} \)
• D. \( 2 \)

Hint:

Always verify final options carefully—often intermediate algebra cancels unexpectedly.

Answer 1

The Correct Option is D