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Aratati ca tg 30* ctg 60* tg 60* ctg 30* =10 supra 3

Răspuns :

[tex]= \frac{ \sqrt{3} }{3} * \sqrt{3}* \sqrt{3} * \frac{ \sqrt{3} }{3} \\ = \frac{ \sqrt{9} }{9} * \sqrt{9} \\ = \frac{9}{9} \\ =1. ===\ \textgreater \ \ \textgreater \ \ \textgreater \ [/tex]tg30°×ctg60°×tg60°×ctg30°≠10/3

folosim formula  tgα · ctgα  =  1 
( tg30  · ctg 30 ) · ( tg60  · ctg 60 ) = 1 · 1 =1