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If cosA+cos^2A=1 , then sin^2A+sin^4A=...

If `cosA+cos^2A=1` , then `sin^2A+sin^4A=`

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True,
`therefore cosA + cos^(2)A=1`
`rArr cosA=1-cos^(2)A=sin^(2)A` `[therefore sin^(2)A+cos^(2)A=1]`
`rArr cos^(2)A=sin^(4)A`
`rArr 1-sin^(2)A=sin^(4)A`
`rArr sin^(2)A + sin^(4)A=1` `[therefore cos^(2)A= 1-sin^(2)A]`
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