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If tan^(2)(x+y)+cot^(2)(x+y)=1-2x-x^(2),...

If `tan^(2)(x+y)+cot^(2)(x+y)=1-2x-x^(2),` then (where, `n in Z`)

A

`x=1, y=npi pm (pi)/(4)-1`

B

`x=-1, y= npi pm (pi)/(4)+1`

C

`x=-1, y=(npi)/(2) pm (pi)/(4)-1`

D

`x=+1, y=(npi)/(2)pm (pi)/(4)-1`

Text Solution

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The correct Answer is:
B
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