Question

if tan (A+B)= root3 and tan (A-B) =1/2 find A and B ​

Answer 1

Answer:

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

∘