A geometry problem by Shivam Hinduja

Geometry Level pending

If $\sin x+\sin y+\sin z$ =3 ,

then find the value of

$\cos x+\cos y+\cos z$

1 solution

Sujoy Roy
Dec 16, 2014

As $-1 \le \sin \theta \le 1$ , here $\sin x=\sin y=\sin z=1$ .

So, $\cos x=\cos y=\cos z=0$ and $\cos x+\cos y+\cos z=\boxed{0}$ .