In any triangle \( A B C \), prove the following: \[ \frac{\sqrt{\sin A}-\sqrt{\sin B}}{\sqrt{\s...

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In any triangle \( A B C \), prove the following:
\[
\frac{\sqrt{\sin A}-\sqrt{\sin B}}{\sqrt{\sin A}+\sqrt{\sin B}}=\frac{a+b-2 \sqrt{a b}}{a-b}
\]
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