anonymous
  • anonymous
Please help me with this double angle question. -sqt(3) = tan2theta where 0 <=theta<2pi
Trigonometry
chestercat
  • chestercat
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triciaal
  • triciaal
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triciaal
  • triciaal
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triciaal
  • triciaal
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triciaal
  • triciaal
wait tan 120 = -rt 3 and tan 300 = -rt 3 so theta should be 60 and 150 respectively
anonymous
  • anonymous
\[\tan 2\theta=-\sqrt{3}=-\tan 60=\tan \left( 180-60 \right),\tan \left( 360-60 \right)\] \[2\theta=120,300\] \[\theta=60,150\]

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