3. The numbers $x, y, z$ satisfy the relations $\sin (x+y+z)=\frac{9}{41}$ and $\cos x \cos y \cos z=\frac{5}{41}$. Find $\operatorname{tg} x \operatorname{tg} y+\operatorname{tg} y \operatorname{tg} z+\operatorname{tg} z \operatorname{tg} x$.

If there are multiple possible answers, write them in any order separated by a semicolon.
Answer: $-7 ; 9 | 9 ;-7$

Allowed for input are digits, a dot or comma, division sign, semicolon

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