Question

How do you simplify `Sin(x+pi/4)`?

Answer 1

`(sqrt2/2)(sin x + cos x)`

Explanation:

Apply the trig identity:
sin (a + b) = sin a.cos b + sin b.cos a
`sin (x + pi/4) = sin (pi/4).cos x + cos (pi/4)sin x =`
`= (sqrt2/2)cos x + (sqrt2/2)sin x = (sqrt2/2)(sin x + cos x)`