Question

Question #23e9c

Answer 1

`sqrt(3)/2`

Explanation:

The sum formula for sine says:

`sin(x+y)=sin(x)cos(y)+cos(x)sin(y)`

For the given expression we have `x = pi/12` and `y=pi/4`, so

`sin(pi/12)cos(pi/4)+cos(pi/12)sin(pi/4) = sin(pi/12+pi/4)`

`sin(pi/12+pi/4) = sin(pi/12+(3pi)/12) = sin((4pi)/12)`

`=sin(pi/3) = sqrt(3)/2`