If find (a, b).
Given:
⇒
We know that i2=-1
⇒ (-i)100=a+ib
⇒ i100=a+ib
⇒ (i2)50=a+ib
⇒ (-1)50=a+ib
⇒ 1=a+ib
Equating Real and Imaginary parts on both sides we get
⇒ a=1 and b=0
∴ The values of a and b are 1 and 0.