Question

2. If sin x + sin y + sin z= 3 then the value of cos2020 x + cos2020 y + cos2020 z = ​

Answer 1

QUESTION

If sin x + sin y + sin z= 3 then the value of cos2020 x + cos2020 y + cos2020 z =

ANSWER :-

$Given, sinx+siny+sinz=3</p><p></p><p>$

As value of sin function lies in the interval [-1,1],

$so, sinx+siny+sinz=3 is possible only when,$

$sinx=siny=sinz=1$

$⟹sinx+siny+sinz=sin90$

$x=y=z=90$

Therefore

$cosx+cosy+cosz=cos90+cos90+cos90=0$