Question

if tan(a+b)=1 and tan(a-b)=1/√3, 0°b, then find the values of a and b.

Answer 1

Step-by-step explanation:

tan45 =1

a+b=45 ........(1)

tan30= 1/√3

a-b=30 .....,....(2)

adding equation 1 and 2, we get

2a= 75

a= 37.5

now putting value of a in equation 1,we get

b= 17.5