Bonjour,
tan(x) = sin(x)/cos(x)
On a donc tan (x) = ((√6 - √2)/4)/((√6 + √2)/4)
En simplifiant par 4 on a : (√6 - √2)/(√6 + √2)
= ((√6 - √2)(√2 - √6))/((√6 + √2)(√2 - √6))
= ((√6 - √2)(√2 - √6))/(2 - 6)
= ((√6 - √2)(√2 - √6))/(-4)
= (4√3 - 8)/(-4)
= 2 - √3
