Solve this :
According to Junction Rule,
I3= I1+ I2
= 3A sin wt + 4A cos wt
= 5A (3/5 sin wt + 4/5 cos wt) [Multiplying and Dividing with 5]
= 5A (cos 53o sin wt + sin 53o cos wt) [cos 53o = 3/5 and sin 53o = 4/5]
= 5A sin (wt+53o) [sin (A+B) = sin A cos B + cos A sin B]
I3= I1+ I2
= 3A sin wt + 4A cos wt
= 5A (3/5 sin wt + 4/5 cos wt) [Multiplying and Dividing with 5]
= 5A (cos 53o sin wt + sin 53o cos wt) [cos 53o = 3/5 and sin 53o = 4/5]
= 5A sin (wt+53o) [sin (A+B) = sin A cos B + cos A sin B]