Question

Compute the modulus and principal agument of the complex number (1+i)3__(1-i)3​

Answer 1

Step-by-step explanation:

Let z = 1 + i. Then,

. <br> Let

be the acute angle given by <br>

. <br> Clearly, the point representing z = 1 + i is P(1, 1), which lies in the first quadrant. <br>

. <br> Hence,

. <br> (ii) Let

|z| = sqrt((-