# Question #25635

Aug 9, 2016

$E = 0 =$ Constant

#### Explanation:

$E = \cos x \sin \left(y - z\right) + \cos y \sin \left(z - x\right) + \cos z \sin \left(x - y\right)$

Using the identity

$\sin \left(a - b\right) = \sin \left(a\right) \cos \left(b\right) - \sin \left(b\right) \cos \left(a\right)$ and expanding $E$ we obtain the result

$E = 0$