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Question

Which of the following options are equal to cos2A−sin2A?


A

12sin2A

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B

cos2A

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C

sin2A

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D

2cos2A1

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Solution

The correct options are
A

12sin2A


D

2cos2A1


cos2Asin2A

= 1sin2Asin2A

= 12sin2A

Also

cos2Asin2A

= cos2A(1cos2A)

= 2cos2A1


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