This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Continue applying the tangent addition formula. From the previous step, we have: ( + 2)/(1 - 2) = 1 The left side of this equation is the expansion of ( + 2) using the tangent addition formula (A+B) = ( A + B)/(1 - A B). So, we can write: ( + 2) = 1 (3) = 1 Step 2: Find the general solution for . The general solution for an equation of the form x = k is x = n + (k), where n is an integer. In this case, k=1, so (1) = ()/(4). Therefore, for (3) = 1: 3 = n + ()/(4) Divide by 3 to solve for : = (n)/(3) + ()/(12) where n Z (the set of all integers). The final answer is = (n)/(3) + ()/(12), where n Z. Last free one today — make it count tomorrow, or type /upgrade for unlimited.