Question 4

If $$\sin \alpha + \sin \beta = \frac{\sqrt{2}}{\sqrt{3}}$$ and $$\cos \alpha + \cos \beta = \frac{1}{\sqrt{3}}$$, then the value of $$(20 \cos (\frac{\alpha - \beta}{2}))^{2}$$ is_____


Correct Answer: 100


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