Question

Calculati valoarea expresiei E=tg la puterea a doua de 45 de grade + tg la puterea a doua de 60 de grade

Answer 1

tg45=1

tg60=√3

E=1+3=4

Answer 2

$tg^{2} 45$ + $tg^{2}60$ = $(tg45+tg60)^{2}$ - 2tg45tg60 = $(1+√3)^{2}$ - 2×1×√3 = 1+2√3+3-2√3 = 4