Use Euler\'s formula to write the given expression in the form a +ib: (a) e 3x/4i; (b) e(4-pi/3i). Solution eix=cosx+ i sinx (a)ei(3/4) = cos(3/4) + i sin(3/4) =-1/2 + i (1/2) =(1/2)(-1+i) (b)e4-i(/3)= e4 .e-i(/3) =e4 .(cos(-/3) +i sin(-/3)) =e4 [(1/2) + i(-3/2)].