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Aratati ca: Tg30ctg60 + tg60ctg30= 10/3

Răspuns :

[tex] \frac{sin30}{cos30} * \frac{cos60}{sin60} + \frac{sin60}{cos60} * \frac{cos30}{sin30} =[/tex]
[tex] \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} } = [/tex]
[tex] \frac{1}{3}+3= \frac{10}{3} [/tex]

ajungi la rezultatul asta dupa de simplifici 2-urile,faci inmultirile si aduci la acelasi numitor
√3/3*√3/3+√3*√3=1/3+3=10/3