Solve tan2x = -cot (x + pie/3)

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08-10-2016
Mathematics

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Solve tan2x = -cot (x + pie/3)

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Panoyin Panoyin · Answer 1 · 2016-10-09T15:36:36+02:00

Panoyin Panoyin

09-10-2016

[tex]tan(2x) = -cot(x + \frac{\pi}{3})[/tex]
[tex]tan(2x) = -cot(x + 60)[/tex]
[tex]2x + -(x + 60) = 90[/tex]
[tex]2x + (-x - 60) = 90[/tex]
[tex]2x - x - 60 = 90[/tex]
[tex]x - 60 = 90[/tex]
[tex]x = 150[/tex]

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