Question

se cosx*senx=√2/3 e tgx=√2, com 0<x<π/2, qual o valor de cosx ?

Answer 1

sen x/cos x = √2 

sen x = √2 cos x 

cos x.sen x = √2/3 

cos x . √2 cos x = √2/3 

√2 cos² x = √2/3 

cos² x = ( √2/3) : √2 

cos² x = 1/3 

cos x = √1/√3 

cos x = (√1 . √3)/(√3 . √3) 

cos x = √3/3