Step 3: Use the tangent addition formula:tan(x+y)=tanx+tany1−tanxtanySince tan(45∘)=1, we have:tanx+tany1−tanxtany=1 Step 4: Cross-multiply to eliminate the fraction.tanx+tany=1−tanxtany Step 5: Rearrange the equation.tanx+tany+tanxtany=1 Step 6: Add 1 to both sides....