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typo its greater than 4 in second line
find all the numbered pairs (x,y) that satisfy the equation
tan^4x+tan^4y+2cot^2x.cot^2y=3+sin^2(x+y)
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3 Answers
1\left(\mathrm{x+y} \right)=\mathrm{\left(-1 \right)^n n\pi +\frac{\pi}{2}}\\ \mathrm{y=n\pi+x}\\ \left(\mathrm{2x+ n\pi \right)}=\mathrm{\left(-1 \right)^n n\pi +\frac{\pi}{2}}\\ \\ \mathrm{x }=\mathrm{\frac{ n\pi}{2}\left( (-1 )^n - 1\right) +\frac{\pi}{4}}\\ \\ \mathrm{y }=\mathrm{\frac{ n\pi}{2}\left( (-1 )^n + 1\right) +\frac{\pi}{4}}