Question

Show that tan 75 degrees =( square root of 3 + 1) / ( square root of 3 - 1 ) = 2 + square root of 3

Answer 1

Tan 75 = tan(30+45) = (tan30+tan45)/(1-yan 30*tan 45) = (1/root3 + 1)/ (1 - 1/ root3*1) = (1+ root3)/(root3-1)