Question

How do you find the exact value of `cos((2pi)/3)sin(pi/12) + sin(pi/12)cos((2pi)/3)`?

Answer 1

`sqrt2/2`

Explanation:

Apply the trig identity:
sin (a + b) = sin a.cos b + sin b.cos a.
The expression is equal to:
`sin (pi/12 + (2pi)/3) = sin (pi/12 + (8pi)/12) = sin ((3pi)/4) = sqrt2/2`