Sin(4x+Π/6)*cos(5x-Π/2)=0

Question

Sin(4x+Π/6)*cos(5x-Π/2)=0

Answer 1

Sin(4x+π/6)=0
4x+π/6=πn
4x=-π/6+πn
x=-π/24+πn/4,n∈z
cos(5x-π/2)=0
sin5x=0
5x=πn
x=πn/5,n∈z