
Related Articles
- y + \frac{1}{y} \geq 2
- Equality occurs when $y = 1$, i.e., $\tan x = 1 \Rightarrow x = \frac{\pi}{4}$.
- Thus, the minimum value is:
- Question: A regular tetrahedron has three of its vertices at $(0,0,0)$, $(1,1,0)$, and $(1,0,1)$. Find the coordinates of the fourth vertex, assuming all coordinates are integers.
- Let the fourth vertex be $(x, y, z)$, and recall that in a regular tetrahedron, all edges have equal length.
- Compute edge lengths between the known points: