If sin A + sin²A=1.find the value of cos²A + cos4A
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Given:
Sin A + Sin^2 A = 1 ——> 1
Sin A = 1 - Sin^2 A
Sin A = Cos^2 A ——> 2
Cos^2 A + Cos^4 A
= Cos^2 A + (Cos^2 A)^2
= Cos^2 A*(1 + Cos^2 A)
= Sin A*(1 + Sin A)
= Sin A + Sin^2 A
= 1 ——> Answer
Sin A + Sin^2 A = 1 ——> 1
Sin A = 1 - Sin^2 A
Sin A = Cos^2 A ——> 2
Cos^2 A + Cos^4 A
= Cos^2 A + (Cos^2 A)^2
= Cos^2 A*(1 + Cos^2 A)
= Sin A*(1 + Sin A)
= Sin A + Sin^2 A
= 1 ——> Answer
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