Recall the tangent addition and subtraction formulas.

Morning Galaxy — let's get this done. Step 1: Recall the tangent addition and subtraction formulas. The formulas for (A+B) and (A-B) are: (A+B) = ( A + B)/(1 - A B) (A-B) = ( A - B)/(1 + A B) We know that (()/(4)) = 1. Step 2: Apply the formulas to (()/(4) + ) and (()/(4) - ). (()/(4) + ) = (()/(4)) + 1 - (()/(4)) = (1 + )/(1 - ) (()/(4) - ) = (()/(4)) - 1 + (()/(4)) = (1 - )/(1 + ) Step 3: Use the identity x = (1)/( x) to find the cotangent expressions. (()/(4) + ) = (1)/(()4 + ) = (1 - )/(1 + ) (()/(4) - ) = (1)/(()4 - ) = (1 + )/(1 - ) Step 4: Multiply the two cotangent expressions. (()/(4) + )(()/(4) - ) = ((1 - )/(1 + )) × ((1 + )/(1 - )) The terms (1 - ) and (1 + ) cancel out. (()/(4) + )(()/(4) - ) = 1 The final answer is 1. The correct option is (3). Send me the next one 📸