trigonometry chapter 11th
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as we know that, (sina+sinb=2sin(a+b2)cos(a−b2))
so, 2sin4x.cos(−2x)−sin4x=0
=sin4x(2cos2x−1)=0
now it can possible that whether sin4x=0or2cos2x−1=0
when sin4x=0
4x=nπ&n∈z
x=nπ4
when 2cos2x−1=0
cos2x=cos(π3)
2x=2nπ±π3
x=nπ±π6
answer = nπ4,nπ±π6
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