Question

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.​

Answer 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

∘