If tay (A+B) = 1 and tan (A-B) = 1/root3
0°<A +B< 90, A >B, then find the values of A and B.​

1 thought on “If tay (A+B) = 1 and tan (A-B) = 1/root3<br />0°<A +B< 90, A >B, then find the values of A and B.​”

1. Correct option is

   A

   60

   Given tan(A+B)=

   3

   ⟹A+B=60

   ∘

   ⋯(1)

   tan(A−B)=

   3

   1

   ⟹A−B=30

   ∘

   ⋯(2)

   (1)+(2)⟹2A=90

   ∘

   ⟹A=45

   ∘

   Put A value in (1)

   ⟹B=60

   ∘

   −45

   ∘

   =15

   ∘

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