if tan(a- b)=1 and sec(a+b)=2/root 3 . find the smallest positive values of a and b and also their most general values

a-b=nPi+ Pi/4
1/cos(a+b)=sec(a+b)=2/root 3
cos(a+b)=root 3/2
a+b=2nPi+Pi/6
a=2nPi+1/2(Pi/4+Pi/6)
b=2nPi+1/2(Pi/6-Pi/4)
for n=0,
smallest value of a=1/2(Pi/4+Pi/6)
smallest value of b=1/2(Pi/6-Pi/4)

sher mohammad
b.tech, iit delhi