## anonymous one year ago Please help me with this double angle question. -sqt(3) = tan2theta where 0 <=theta<2pi

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1. triciaal

|dw:1439161220176:dw|

2. triciaal

|dw:1439161438120:dw|

3. triciaal

|dw:1439162260363:dw|

4. triciaal

wait tan 120 = -rt 3 and tan 300 = -rt 3 so theta should be 60 and 150 respectively

5. anonymous

$\tan 2\theta=-\sqrt{3}=-\tan 60=\tan \left( 180-60 \right),\tan \left( 360-60 \right)$ $2\theta=120,300$ $\theta=60,150$