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Valores de las funciones Seno y Coseno
para los ángulos múltiplos de 3

 

$ \left\{\vphantom{\begin{array}{lcl} sen 0^o & =& 0 \\ & & \\ cos 0^o & =& 1 \end{array}}\right.$$ \begin{array}{lcl} sen 0^o & =& 0 \\ & & \\ cos 0^o & =& 1 \end{array}$

$ \left\{\vphantom{\begin{array}{lcl} sen 3^o & =&\displaystyle{\sqrt{8-\sqrt{1... ...le{\sqrt{8+\sqrt{15}+\sqrt{3}+\sqrt{10-2\sqrt{5}}}\over 4} \end{array}}\right.$$ \begin{array}{lcl} sen 3^o & =&\displaystyle{\sqrt{8-\sqrt{15}-\sqrt{3}-\sqrt... ...splaystyle{\sqrt{8+\sqrt{15}+\sqrt{3}+\sqrt{10-2\sqrt{5}}}\over 4} \end{array}$

$ \left\{\vphantom{\begin{array}{lcl} sen 6^o & =&\displaystyle{\sqrt{30-6\sqrt... ...isplaystyle{\sqrt{15}+\sqrt{3}+\sqrt{10-2\sqrt{5}}\over 8} \end{array}}\right.$$ \begin{array}{lcl} sen 6^o & =&\displaystyle{\sqrt{30-6\sqrt{5}}-\sqrt{5}-1\o... ...o & =&\displaystyle{\sqrt{15}+\sqrt{3}+\sqrt{10-2\sqrt{5}}\over 8} \end{array}$

$ \left\{\vphantom{\begin{array}{lcl} sen 9^o & =&\displaystyle{\sqrt{8-2\sqrt{... ...^o & =&\displaystyle{\sqrt{8+2\sqrt{10+2\sqrt{5}}}\over 4} \end{array}}\right.$$ \begin{array}{lcl} sen 9^o & =&\displaystyle{\sqrt{8-2\sqrt{10+2\sqrt{5}}}\ov... ... cos 9^o & =&\displaystyle{\sqrt{8+2\sqrt{10+2\sqrt{5}}}\over 4} \end{array}$

$ \left\{\vphantom{\begin{array}{lcl} sen 12^o & =&\displaystyle{\sqrt{7-\sqrt{... ...displaystyle{\sqrt{9+\sqrt{5}+\sqrt{30-6\sqrt{5}}}\over 4} \end{array}}\right.$$ \begin{array}{lcl} sen 12^o & =&\displaystyle{\sqrt{7-\sqrt{5}-\sqrt{30-6\sqr... ...^o & =&\displaystyle{\sqrt{9+\sqrt{5}+\sqrt{30-6\sqrt{5}}}\over 4} \end{array}$

$ \left\{\vphantom{\begin{array}{lclcl} sen 15^o &=&\displaystyle{\sqrt{6}-\sqr... ...\sqrt{2}\over 4}&=&\displaystyle{\sqrt{2+\sqrt{3}}\over 2} \end{array}}\right.$$ \begin{array}{lclcl} sen 15^o &=&\displaystyle{\sqrt{6}-\sqrt{2}\over 4}&=&\d... ...sqrt{6}+\sqrt{2}\over 4}&=&\displaystyle{\sqrt{2+\sqrt{3}}\over 2} \end{array}$

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