Question

How do you use the half angle formula to simplify `sin^3(pi/6)`?

Answer 1

`sin^3(pi/6)`

`=sin(pi/6)*sin^2(pi/6)`

`= sin(pi/6)*(1-cos(pi/3))/2`

`= 1/2 * (1-1/2)/2`

`= 1/8`