Question

tan(a+b)= root three , tan(a-b)=1 then tan6b= ?

Answer 1

Hope this helps you ☺☺

Answer 2

tan(a+b) =root 3
tan(a+b)=tan 60
a+b=60..........(1).

tan(a-b) =1
tan(a-b)=tan45.
a-b=45........(2).

Adding (1) and (2).

a+b+a-b=60+45
2a=105
a=105/2=52.5

Substituting the value of a in (1) we get,
a+b=60
52.5+b=60
b=60-52.5
b=7.5

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