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Solve a complicated simultaneous equation with the trigonometric terms?

Posted 9 months ago
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Hi, everyone. I'm new about this tool. I want to solve a simultaneous equation with the trigonometric terms which is really complicated for me. I'm not sure whether the way I operate the tool is right. Until today the time of calculation is about 7 hours. Is there any advice to solve this problem or is there any problem with my operation? The code is shown below and the file is attached. Thanks a lot!!

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A problem that complicated can probably only be handled by FindRoot

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