If sin^(16) alpha = (1)/(5), then the va...

If `sin^(16) alpha = (1)/(5)`, then the value of
`(1)/( cos^(2) alpha) + (1)/( 1 + sin^(2) alpha) + (2)/( 1 + sin^(4) alpha) + (4)/( 1 + sin^(8) alpha)` is

A

2

B

4

C

6

D

10

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The correct Answer is:

D

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