Answer:
[tex] \tan(180 \degree + 30\degree) - 2 \tan(180\degree - 30\degree) \\ = \frac{ \sin(210\degree) }{ \cos(210\degree) } - 2 \frac{ \sin(150\degree) }{ \cos(150\degree) } \\ = \frac{ - 0.5}{ - \frac{ \sqrt{3} }{2} } - 2 \frac{0.5}{ - \frac{ \sqrt{3} }{2} } \\ = \frac{0.5 + 1}{ \frac{ \sqrt{3} }{2} } \\ = 0.693 \\ = ln(2) [/tex]
