− π 6 = − 30 ∘ {\displaystyle -{\frac {\pi }{6}}=-30^{\circ }} 360 ∘ − 30 ∘ = 330 ∘ = 3 2 , − 1 2 {\displaystyle 360^{\circ }-30^{\circ }=330^{\circ }={\frac {\sqrt {3}}{2}},-{\frac {1}{2}}} c o s ( − π 6 ) = 3 2 1 = 3 2 {\displaystyle cos(-{\frac {\pi }{6}})={\frac {\frac {\sqrt {3}}{2}}{\cancel {1}}}={\frac {\sqrt {3}}{2}}} s i n ( − π 6 ) = − 1 2 1 = − 1 2 {\displaystyle sin(-{\frac {\pi }{6}})={\frac {-{\frac {1}{2}}}{\cancel {1}}}=-{\frac {1}{2}}} t a n ( − π 6 ) = − 1 2 3 2 ⋅ ( 2 ) = − 1 3 ⋅ ( 3 ) = − 3 3 {\displaystyle tan(-{\frac {\pi }{6}})={\frac {-{\frac {1}{\cancel {2}}}}{\frac {\sqrt {3}}{\cancel {2}}}}\cdot (2)=-{\frac {1}{\sqrt {3}}}\cdot ({\sqrt {3}})={\frac {-{\sqrt {3}}}{3}}} s e c ( − π 6 ) = 1 3 2 ⋅ ( 2 ) = 2 3 ⋅ ( 3 ) = 2 3 3 {\displaystyle sec(-{\frac {\pi }{6}})={\frac {1}{\frac {\sqrt {3}}{\cancel {2}}}}\cdot (2)={\frac {2}{\sqrt {3}}}\cdot ({\sqrt {3}})={\frac {2{\sqrt {3}}}{3}}} c s c ( − π 6 ) = 1 − 1 2 ⋅ ( 2 ) = 2 − 1 = − 2 {\displaystyle csc(-{\frac {\pi }{6}})={\frac {1}{-{\frac {1}{\cancel {2}}}}}\cdot (2)={\frac {2}{-1}}=-2} c o t ( − π 6 ) = 3 2 − 1 2 ⋅ ( 2 ) = 2 3 − 2 = − 3 {\displaystyle cot(-{\frac {\pi }{6}})={\frac {\frac {\sqrt {3}}{2}}{-{\frac {1}{2}}}}\cdot (2)={\frac {\frac {2}{\sqrt {3}}}{-2}}=-{\sqrt {3}}}
