If Cos A + Cos²A = 1, then Sin²A + Sin^4 A =
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Cos A + Cos²A = 1 ------------- Equation 1
Cos A = 1 - Cos²A
Cos A = Sin²A ------------ Equation 2
Sin²A + Sin⁴A = 0
Sin²A + ( Sin²A )² = 0
From Equation 2 ( Cos A = Sin²A )
Cos A + ( Cos A ) ² = 0
From Equation 1
Cos A + Cos²A = 1
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