When the determinant |{:(cos2x,sin^(2)x,...

When the determinant `|{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}|` is expanded in powers of sin x , the constant term is equal to expression is

A

1

B

0

C

-1

D

2

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The correct Answer is:

C

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