If iz4+1=0, then z can take the value:
1+i2
cosπ8+isinπ8
14i
i
Explanation for the correct option:
Find the value of z:
iz4+1=0⇒iz4=-1⇒z4=-1i
Multiplying numerator and denominator by i, we get
z4=-ii2⇒z4=i⇒z41/4=i1/4⇒z=0+i1/4=isinπ2+cosπ21/4=isinπ8+cosπ8
Hence, option B is correct.