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Question 5
Write ‘True’ or ‘False’ and justify your answer in each of the following:
If cosA+cos2A=1, then sin2A+sin4A=1

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Solution

The statement is true.

According to the question,
cosA+cos2A=1

cosA=1cos2A=sin2A sin2A+cos2A=1

cos2A=sin4A

1sin2A=sin4A

sin2A+sin4A=1 cos2A=1sin2A



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