Math, asked by savitavishnoi2003, 1 year ago

If sin A + cos square A=1 then find value of cos square A + cos to the power 4 A=?

Answers

Answered by amitnrw
2

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

Answered by RoushanKumarSingh
1
Hope it helps u......
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