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Question

[cos4 A - sin4A] is equal to:


  1. 2 sin2 A + 1

  2. 2 cos2 A - 1

  3. 2 cos2 A + 1

  4. 2 sin2 A - 1


Solution

The correct option is B

2 cos2 A - 1


cos4 A - sin4A

= cos4 A - (1 - cos2A)2

= cos4 A - (1 + cos4A - 2 cos2A)

= 2 cos2 A - 1

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