Answer:
Lhs=sin2x-cos2x
=1-cos2x-cos2x
=1-2cos2x
rhs=Lhs
sin²x - cos²x = 1 - 2cos²x
Here, we know the identity
sin²θ = 1 - cos²θ
Now,
1 - cos²x - cos²x = 1 - 2cos²x
1 - 2cos²x = 1 - 2cos²x
L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72
