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If the equation cos^(2)((pi)/4(sinx+sqrt...

If the equation `cos^(2)((pi)/4(sinx+sqrt(2)cos^(2)x))-tan^(2)(x+(pi)/4tan^(2)x)=1` then x=

A

`2 k in - (pi)/(4), k in Z`

B

`2 k pi + (pi)/(3), k in Z`

C

`2 k pi + (pi)/(4) , k in Z`

D

`2 k pi + (pi)/(4), k in Z`

Text Solution

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The correct Answer is:
A
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