How do you find the value of $tan 150$ $tan 150$ ?

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Answer 1 · 2015-10-17T14:20:11

$\frac{1}{- \sqrt{3}}$ $1/-sqrt3$

$tan (150) = tan (180 - 30)$ $tan(150)= tan(180-30)$

or

$tan (150) = tan (180 + (- 30))$ $tan(150)=tan(180+(-30))$

$tan (150) = \frac{tan (180) + tan (- 30)}{1 - tan (180 . tan (- 30))}$ $tan(150)=(tan(180)+tan(-30))/(1-tan(180.tan(-30)))$

$tan (150) = \frac{0 + \frac{sin (- 30)}{cos (- 30)}}{1 - 0}$ $tan(150)=(0+ sin(-30)/cos(-30))/(1-0)$

$tan (150) = \frac{\frac{1}{2}}{- \frac{\sqrt{3}}{2}}$ $tan(150)=(1/2)/(-sqrt3/2)$

$tan (150) = (\frac{1}{2}) \cdot (\frac{2}{- \sqrt{3}})$ $tan(150)=(1/2)* (2/-sqrt3)$

$tan (150) = \frac{1}{- \sqrt{3}}$ $tan(150)=1/-sqrt3$

How do you find the value of tan150tan 150?