Goniometric problem with triangle and semicircle

[Ppprova]

We have an equilateral triangle $$△ABC$$ with side $$\sqrt{2}$$ and a semicircle with diameter $$CB$$ external to the triangle. If P is a variable point on the semicircle and the angle $$∠PCB=x$$

 

[mmm4444bot]

Hello. It looks like you didn't finish typing the question. When you reply with the rest of it, please include also any work you've begun (or explain why you're stuck). Thank you.

PS: I've fixed your broken LaTeX tags We use double dollar signs $$ at this site, for inline mode. I don't understand why the system keeps changing those tags to display mode, in this thread.

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