Question

Sin A +sin^2A =1 then show cos^2A +cos^4A=1

Answer 1

Answer:

sinA + (1-cos^2A)= 1

sinA - cos^2A=0

SinA = Cos^2A

square both side

Sin^2A=Cos^4A

1-cos^2A=COS^4A

THEREFORE

cos^2A + cos^4A=1

Hence Proved.