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Answer 1 · 2018-02-07T00:03:22

#n(2pi)/3#

#2sin3x=0#

#sin3x=0#

#3x=arcsin(sin3x)=arcsin(0)#

#arcsin(0)=0,2pi......n2pi# #bb("?")#

#3x=n2pi=>x=n(2pi)/3#

#x=n(2pi)/3color(white)(88)# ( where #n# is an integer )

#bb("?")#

Notice that #0# is also #2pi# , #4pi# ,#6pi# ,#-2pi#... etc.

This is why we use #bb(n2pi)#.

This is common practice where no interval is given.