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IF sin ^(16) alpha = 1/5 then the ...

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 equal to

A

2

B

8

C

6

D

10

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