6.2 Trigonometric Functions: Unit Circle Approach/41

$2(\sin({\frac {\pi }{3}}))-3(\tan({\frac {\pi }{6}}))$

$2({\frac {\sqrt {3}}{2}})-3({\frac {\frac {1}{\cancel {2}}}{\frac {\sqrt {3}}{\cancel {2}}}})$

$2({\frac {\sqrt {3}}{2}})-3({\frac {1}{\sqrt {3}}})$

${\frac {2{\sqrt {3}}}{2}}-{\frac {3}{\sqrt {3}}}({\sqrt {3}})$

${\frac {{\cancel {2}}{\sqrt {3}}}{\cancel {2}}}-{\frac {{\cancel {3}}{\sqrt {3}}}{\cancel {3}}}$

${\sqrt {3}}-{\sqrt {3}}=0$