If sin A + cos square A=1 then find value of cos square A + cos to the power 4 A=?
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SinA + Cos^2A = 1
SinA = 1-Cos^2A
SinA = Sin^2A
SinA - Sin^2A = 0
SinA(1-SinA) = 0
SinA = 0
SinA= 1
case 1 SinA = 0
Cos^2A + Cos^4A
= Cos^2A(1+ Cos^2A)
= (1-Sin^2A)(1 + 1 -Sin^2A)
= (1 - 0)(1 + 1 - 0)
= 1 × 2
= 2
case2 SinA = 1
Cos^2A + Cos^4A
= Cos^2A(1+ Cos^2A)
= (1-Sin^2A)(1 + 1 -Sin^2A)
= (1 - 1)(1 + 1 - 1)
= (0)×(1)
= 0
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