Question

If tan 1/√3= and tan (A + B) = 1, find A.

Answer 1

Answer:

so

Step-by-step explanation:

tan(a+b) = root3

tan(a-b)= 1/root3

We know tan 60 = root 3 and tan 30 = 1/root3

So, a+b = 60, a-b = 30

Adding the two gives

a+a+b-b=60+30

2a=90

a = 45

a+b=60

45+b=60

b=15