Show abs(sinx-cox) less than or equal to sqrt(2)

Can you prove this.

[@filipnagy3535]

sin(2x) >= -1
-2sin(x)cos(x)

[@averagecornenjoyer6348]

could have used Weierstrass or whatever that thingy formula and gotten the amplitude

[@kylecow1930]

why is this 12 mins
sin(x-pi/4)=1/sqrt(2)(sin(x)-cos(x))
qed

[@padalanageswaravupadalanag6110]

Hi