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Find all number of pairs x,y that satisfy the equation `tan^4) x + tan^(4)y+2 cot^(2)x * cot^(2) y=3+ sin^(2)(x+y)` .

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The correct Answer is:
`x=y=m pi pm (pi)/4 , n in I `
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
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