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Aflati ctgx daca cosx=1/3 si x apartine (0,pi/2)

Răspuns :

sinx=radical( 1-1/9)⇒sinx=2√2/3
ctgx=cosx/sinx
ctgx=(1/3)*(3/2√2)=√8/8=√2/4
sinx = √1 - ( 1/3)² = √1 -1/9 = √8/9 = 2√2/3 
ctgx = cosx /sinx = [ 1/3  ]  / [ 2√2 /3 ] = 1 / 2√2 =√2 /4