# Cuboid

• Nov 18th 2012, 12:14 AM
Cuboid
We’ve got cuboid ABCDA’B’C’D’.
$\displaystyle \alpha$ = $\displaystyle \angle$ C’AB
$\displaystyle \beta$ = $\displaystyle \angle$ C’AD
$\displaystyle \gamma$ = $\displaystyle \angle$ C’AA’
Prove that:
tg $\displaystyle \alpha$ + tg $\displaystyle \beta$ +tg $\displaystyle \gamma$ ≤ $\displaystyle \frac {3}{2}$ tg $\displaystyle \alpha$ tg $\displaystyle \beta$ tg $\displaystyle \gamma$
• Nov 18th 2012, 04:48 PM
chiro
Re: Cuboid

What does tg refer to?
• Nov 19th 2012, 12:11 PM
Re: Cuboid
It's tg angles $\displaystyle \alpha , \beta , \gamma$
• Nov 19th 2012, 01:08 PM
topsquark
Re: Cuboid
Quote:

Originally Posted by chiro

What does tg refer to?

Quote:

It's tg angles $\displaystyle \alpha , \beta , \gamma$

Okay. So what is a tg angle? Please give us the definition.

-Dan
• Nov 19th 2012, 06:00 PM
Prove It
Re: Cuboid
I expect it means \displaystyle \displaystyle \begin{align*} \tan{\alpha}, \tan{\beta}, \tan{\gamma} \end{align*}.
• Nov 23rd 2012, 02:34 AM