If tan⁡(A−B)=1 and sec⁡(A+B)=2/3 then the smallest positive values of ,A and B, respectively, are

tan⁡(A−B)=1⇒ A−B=n1π+π4 or A−B=π4,3π4,−3π4,… sec⁡(A+B)=23⇒ A+B=2n2π±π6 or A+B=π6,11π6,…For the least positive values of ,A and B, we have A+B=11π6, A−B=π4⇒ B=19π24, A=25π24