Prove the following: cos ^2 2 x-cos ^2 6 x=sin 4 x sin 8 x

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Prove the following:
cos ^2 2 x-cos ^2 6 x=sin 4 x sin 8 x

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Dear pw,
This trigonometric identity was wrong, showen in this video.
Right is :- cosx - cosy = -2sin × (x+y/2) × sin(x-y/2)
Please implement it.

shahrukhkathat