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

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

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We have, .tan 2 x=-cot (x+(pi)/(3))=tan ((pi)/(2)+x+(pi)/(3)).
tan 2 x=tan (x+(5 pi)/(6))
Therefore .2 x=n pi+x+(5 pi)/(6)., where .n in Z.
(x)=(n) pi+(5 pi)/(6), ( where ) (n) in (Z)
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