1. The problem statement, all variables and given/known data Two alternating currents i1 and i2 flow into a circuit node,the output current i is given by i1 + i2. Calculate the amplitude of i and the first time it occurs. i1=5sin(50t +Pi/3) i2=6cos50t 2. Relevant equations 3. The attempt at a solution 5 sin ( 50t +60˚) = 5 ( sin 50t cos60˚ + sin60˚cos50t ) = 2.5 sin 50t + 4.33 cos 50t 2.5 sin 50t + 4.33 cos 50t + 6 cos 50t i1+i2 = 2.5 sin 50t +10.33 cos 50t R² = 2.5²+10.33² R = √113 = 10.6 arctan 10.33 / 2.5 = 33.8˚ so i = 10.6 and occurs when 50t = 33.8˚ Does this look right?