Notation: sin and cos without brackets

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Recently I read an equation that was formated like the following one:

$f = \sin x y + \cos z$

Since $x$, $y$, and $z$ are different variables, and there are not brackets (), is $y$ inside the sin-operator or not? Does there exist some kind of rule for this?

Does it mean $f = \sin(x) y + \cos(z)$ or $f = \sin(x y) + \cos(z)$?

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Refering to the excellent comments under the inital question, I will answer my own question, just to mark this as answered. Therefore $f=\sin(xy)+\cos(z)$ is correct.