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is the x element (180,270), if tanx-3cotx=2, sinx ?

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Answer to a math question is the x element (180,270), if tanx-3cotx=2, sinx ?

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Miles
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\tan x-\frac{3}{\tan x}=2 \tan^2x-2\tan x-3=0,then\:\tan x=3 x=251.565 \sin x=-0.949

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