1. If each $$\alpha,\beta$$ and $$\gamma$$ is a positive acute angle such that $$Sin(\alpha+\beta-\gamma)=\frac{1}{\sqrt{2}},Cosec(\beta+\gamma-\alpha)=\frac{2}{\sqrt{3}}$$ and $$tan(\gamma+\alpha-\beta)=\frac{1}{\sqrt{3}}$$. What are the values of $$\alpha,\beta,\gamma$$?





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