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If A=[{:( 1,-tanx ),( tanx ,1):}] then ...

If A=`[{:( 1,-tanx ),( tanx ,1):}]` then the value of ` [A^(T) A^(-1) ]` is

A

`cos 4x`

B

` sec^(2) x `

C

` -cos 4x`

D

1

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The correct Answer is:
D
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