If $$cos A + cos^2 A = 1$$, then $$sin^2 A + sin^4 A$$ is equal to
$$Sin^2A = 1 - Cos^2A$$
From the question
$$Cos A = 1 - Cos^2A = Sin^2A$$
$$Sin^2A + Sin^4A = CosA + Cos^2A = 1$$
Hence Option A is the correct answer.
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