If sinx+sin^2x =1 then the value of cos^2x+cos^4x is
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answer is 1
Given sinX + sin²X = 1
as sin²X + cos²X = 1
therefore sinX + sin²X = sin²X + cos²X
so sinX = cos²X
and sin²X = cos⁴X
therefore sinX + sin²X = cos²X + cos⁴X
hence cos²X + cos⁴X = 1
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