The Total solution for NCERT class 6-12
Solve:
5 tan-1x + 3 cot-1x = 2Π
2tan-1x+3(Π/2)=2Π
2tan-1x=2Π-3Π/2=Π/3
tan-1x=Π/6
x=tanΠ/6=1/√3