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I have tried to post an answer but the site froze up and I lost it all.

Here is the short version

 

solve tan 2x = - cot (x + pi/3)

 

I solved by graphing.

 

Herer is the full graph

https://www.desmos.com/calculator/mblxlza8ms

 

From the graph it appears the answer is        \(x=n\pi+\frac{5\pi}{6}\qquad n \in Z\)

 

In my last (lost) answer I substituted this answer in to check it was correct and it was exactly so.

 

If you want to ask questions by all means do so :)

 

 

Here is the pic:

Mar 22, 2017

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