Please solve it correctlySolution5sin2 16sin3 0 5sin2 15sins

Please solve it correctly

Solution

5sin²() -16sin()+3 =0

5sin²() -15sin()-sin()+3 =0

5sin()(sin() -3) -1(sin() -3)=0

(sin()-3)(5sin()-1)=0

sin() =3 ,sin() =1/5

sin() =3 , no solution

sin() =1/5

=2k +(sin^-1(1/5)),2k +(-sin^-1(1/5)) where k is integer

=6.283k +0.201,6.283k +2.940 where k is integer