1The maximum value of A-111 + coso+sino i is [O is real numbers)I3) V2

Write the truth values of the following: It is not true that 5-3i is a real number

Show that 1 + i^10 + i^20 + i^30 is a real number.

Find the smallest positive integer value of n for which ((1+i)^n)/((1-i)^(n-2)) is a real number.

The real value of theta for which the expression (1 + icos theta)/(1 - 2i cos theta) is real number is

The real value of theta for which the expression (1 + icos theta)/(1 - 2i cos theta) is real number is

Prove that 1+ i^10+i^20+i^30 is a real number.

The real value of theta for which the expression (1+i cos theta)/(1-2i cos theta) is real number is

Find the values of the real numbers x and y, if the complex numbers (3 - i) x - (2-i) y + 2i + 5 and 2x + (-1 + 2i)y + 3 + 2i are equal