Question

tan (a+b)=3 and tan (a-b)=1/root 3

Answer 1

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Answer 2

tan(a+b)=√3
tan(a+b)=tan60
a+b=60 ----------- -1
tan(a+b)=1/√3
tan(a-b)=tan30
a-b=30 ----------- -2
putting 1 and 2
a+b=60
a-b=30
- +
_______
2b=30
b=15 ------------- -3
putting 3 in 1
a+b=60
a+15=60
a=60-15
a= 45