0 ∘ 30 ∘ 45 ∘ 60 ∘ 90 ∘ sin : 0 2 1 2 2 2 3 2 4 2 cos : 4 2 3 2 2 2 1 2 0 2 tan : 0 3 3 1 3 u n d e f i n e d cot : u n d e f i n e d 3 1 3 3 0 {\displaystyle {\begin{matrix}&0^{\circ }&30^{\circ }&45^{\circ }&60^{\circ }&90^{\circ }\\\sin :&{\dfrac {\sqrt {0}}{2}}&{\dfrac {\sqrt {1}}{2}}&{\dfrac {\sqrt {2}}{2}}&{\dfrac {\sqrt {3}}{2}}&{\dfrac {\sqrt {4}}{2}}\\\\\cos :&{\dfrac {\sqrt {4}}{2}}&{\dfrac {\sqrt {3}}{2}}&{\dfrac {\sqrt {2}}{2}}&{\dfrac {\sqrt {1}}{2}}&{\dfrac {\sqrt {0}}{2}}\\\\\tan :&0&{\dfrac {\sqrt {3}}{3}}&1&{\sqrt {3}}&undefined\\\\\cot :&undefined&{\sqrt {3}}&1&{\dfrac {\sqrt {3}}{3}}&0\\\\\end{matrix}}}