slindalin5 slindalin5
  • 11-06-2020
  • Mathematics
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20sin^4 x power reduction

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surjithayer10 surjithayer10
  • 11-06-2020

Answer:

Step-by-step explanation:

20 sin^4x

=5(4sin^4 x)

=5(2sin²x)²

=5(1-cos 2x)²

=5(1-4cos2x+cos²(2x))

=5[1-4cos(2x)+{1+cos (4x)}/2]

=5/2[2-8cos(2x)+1+cos(4x)]

=5/2[3-8cos (2x)+cos (4x)]

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