If cos A + cos2A=1 then sin2A + sin4A =
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Step-by-step explanation:
Given : cos A + cos²A=1
To find : sin²A +sin4A =?
Soln : cosA +cos²A=1
i.e cos A = 1 - cos²A
∴ cos A =sin²A. ..(sin²A +cos²A +1)
Now,
sin²A + sin4A = cos A + (cosA)²
cosA + cos²A
= 1....(given)
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