Question

Find the value of the following:

`sin  pi/4 cos  pi/12 + cos  pi/4 sin  pi/12`

Answer 1

This is of the form sin(A + B) = sin `(pi/4 + pi/12)`

`= sin ((3pi + pi)/12)`

`= sin  (4pi)/12`

`= sin  (pi)/3`

`= sqrt3/2  ...(because sin 60^circ = sqrt3/2)`