Question

Aratati ca: Tg30ctg60 + tg60ctg30= 10/3

Answer 1

$\frac{sin30}{cos30} * \frac{cos60}{sin60} + \frac{sin60}{cos60} * \frac{cos30}{sin30} =$
$\frac{ \frac{1}{2} }{ \frac{ \sqrt{3} }{2} } * \frac{ \frac{1}{2} }{ \frac{ \sqrt{3} }{2} }+ \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }* \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} } =$
$\frac{1}{3}+3= \frac{10}{3}$

ajungi la rezultatul asta dupa de simplifici 2-urile,faci inmultirile si aduci la acelasi numitor

Answer 2

√3/3*√3/3+√3*√3=1/3+3=10/3