How does this trig identity work?

[zeion]

1. The problem statement, all variables and given/known data

How does |sinx + cosx| = |sqrt(2)(x + (pi/4))| ?


2. Relevant equations



3. The attempt at a solution

Some kind of co-function identity?

[tiny-tim]

hi zeion! :smile:

(have a square-root: √ and a pi: π :wink:)

do you mean |sinx + cosx| = |√2 sin(x + π/4)| ?

hint: expand sin(x + π/4) :wink: