Question:medium
If \( \sin x + \sin y = a \), \( \cos x + \cos y = b \) and \( x + y = \frac{2\pi}{3} \), then the value of \( \frac{a}{b} \) is equal to
If \( \sin x + \sin y = a \), \( \cos x + \cos y = b \) and \( x + y = \frac{2\pi}{3} \), then the value of \( \frac{a}{b} \) is equal to
Show Hint
For sums of sine and cosine, convert into product form and take ratios to simplify.
Updated On: Apr 21, 2026
- \( \frac{\sqrt{3}}{3} \)
- \( 2\sqrt{3} \)
- \( \sqrt{3} \)
- \( 4\sqrt{3} \)
- \( \frac{\sqrt{3}}{6} \)
Show Solution
The Correct Option is C
Solution and Explanation
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