Question

If Tan(A+B)=√3 and Cot(A-B) =√3 and find the value of acute angles A&B.​

Answer 1

Hey man Take this!

If tan(A+B) is give equal to root3 than it's obvious that

     (A+B)=60                      (tan 60=root 3) ...............1

And cot(A-B) is given as equal too root 3 again

therefore,   (A-B)=30               (cot 30=root 3) .....................2

Now solving equation 1 & 2,

                A +B = 60

                A -B = 30

   we get, 2A = 90

hence,     A = 45 degree

Similarly you can find B by putting the value of A i.e B = 15 degree

Gotcha!!