Question

rezolvati in multimea(0,π/2) ecuatia 2cosx-√3=0

Answer 1

in x ∈( 0 , π/2 ) 
cosx =√3/2 
daca x= π/6

Answer 2

$cosx= \frac{ \sqrt{3} }{2}$
x=$arccos \frac{ \sqrt{3} }{2}+2k \pi , \pi dinZ$    sau x=-$arccos \frac{ \sqrt{3} }{2}+2n \pi$
x=π/6+2kπ sau x=-π/6+2nπ
selectam solutiile
0≤π/6+2kπ≤π/2      sau 0≤-π/6+2nπ≤π/2
-π/6≤2kπ≤π/2-π/6   sau π/6≤2nπ≤π/2+π/6
-1/12≤k≤1/6             sau 1/12≤n≤1/3
   k=0                             n∉Z
deci x=π/6