1 Reduce the following expressions to the form aib where a a

1] Reduce the following expressions to the form \"a+ib\", where a and b are real numbers:

.

Solution

a) e^ia = cosa+ isina

So, e^i = cos1 +isin1 = 0.54 + i0.84

b) 2^i =y

lny = i*ln2 = 0.693i

y = e^0.693i

So, 2^i = cos0.693 + isin0.693 = 0.769 + i*0.638