Sin(x+п/4)+sin(x-п/4)<1

Question

Sin(x+п/4)+sin(x-п/4)<1

Answer 1

Sinx*cosп/4+sinп/4*cosx+sinx*cosп/4-sinп/4*cosx<1<br>2sinx*cosп/4<1<br>√2sinx<1<br>sinx<1/√2<br>3п/4+2пn