If cos⁡(A−B)=35 and  tan⁡ Atan⁡B=2 then

cos⁡(A−B)=35or  5cos⁡Acos⁡B+5sin⁡Asin⁡B=3   ------------(1)From the second relation , we getsin⁡Asin⁡B=2cos⁡Acos⁡B  -----2⇒cos⁡Acos⁡B=15 and sin⁡Asin⁡B=25