Question

If cot (A + B) = 1/√3, cot (A-B) = √3,0 °< A + B S 90 °, A> B, find A and B and then verify your
answers by substituting the values of A and B obtained in cot (A-B) and cot (A + B)​

Answer 1

Hey buddy here is your answer

   cot(A+B) = 1/√3

=>cot(A+B) = cot 60

=>A+B = 60 .....................................(i)

   cot (A-B) = √3

=>cot(A-B) = cot 30

=>A-B = 30 .....................................(ii)

Solving (i) and (ii)

   A+B+A-B =60+30

=>2A = 90

=>A = 45

Then B = 60 - A

     =>B=15

Hope it helps buddy

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