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in Mathematics by (54.7k points)

Show that: cos 4θ = 8 cos4θ– 8 cos2θ + 1

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cos 4θ = cos 2(2θ) 

= 2 cos22θ – 1 

= 2(2cos2θ – 1)2 – 1

=  2(4cos4θ – 4 cos2θ + 1) – 1

= 8 cos4θ – 8 cos2θ + 1

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