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I've been working on this question for a while, but I can't come up with a defininitive solution. Can you guys help with it a bit? Thanks!

 

So let's \(x \in (0^{\circ}, 90^{\circ})\) such that

 

\(\frac{\sin(60^{\circ}-x)}{\sin(x)} = \frac{\sin(10^{\circ})}{\sin(150^{\circ})}\)

 

Find all such values of x.

 

The problem with this is you can't really use direct relations, and I think I might get messy trying to combine everything together. I thought about using negatives, but wouldn't that be just heading further down the path?

 

Thanks!

 May 2, 2024

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