Question

sin(pi/12)

Answer 1

\(\LARGE\color{blue}{ \sf π=180° }\)


\(\huge\color{blue}{ \sf Sin(\frac{π}{12})=Sin(\frac{180}{12})=Sin(\frac{π}{12})=Sin(15) }\)

Answer 2

To find the exact value of 15

\(\Large\color{blue}{ \sf Sin(15)=Sin(45-30)=}\)

\(\Large\color{red}{ \sf sin(A-B)=sin A cos B - cos A sin B}\) -- RULE


\(\Large\color{blue}{ \sf Sin(15)=Sin(45-30)=Sin45Cos30-Cos45Sin30}\)

trigonometric table
http://openstudy.com/users/solomonzelman#/updates/5327a134e4b0ba8d4c41f6ba

\(\Large\color{blue}{ \sf Sin(15)=Sin(45-30)=(\sqrt{2} /2)~(\sqrt{3} /2)-(\sqrt{2} /2)~(1/2)}\)

\(\Large\color{blue}{ \sf =(\sqrt{6} /4)-(\sqrt{2} /4)=\frac{\sqrt{6} -\sqrt{2}}{4} }\)

Answer 3

Nicely explained @SolomonZelman - Well done. Keep it up.