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xapartine(0,90)
tgx+ctgx=2
sin2x=?


Răspuns :

sinx/cosx + cosx/sinx = 2
(sin²x + cos²x)/(sinxcosx)= 2
2sinxcosx = 1
sin2x = 1
daca  x ∈ ( 0 , 90  ) 
sin2x = 1 
2x = π / 2 
x = π / 4 ∈ ( 0.90 )