resultant cuurent

Question

two  curents represented by i1=100sin wt  and i2=100(sin wt+45) are feed in same conductor calculate result curent

Answer 1

After  sin( wt +45) is written as sin( wt) cos( 45) + cos( wt +45),   standard formulas can be used to get

 

100 [1/2 + ( 1+ sqrt(2)/2)²)^1/2  sin( wt + 22.5)