Complex Numbers

Question 1

Set 1 Problem 75: Evaluate the complex number (2∠30°)⁶.

Answer 1

-64 (p.17)

Question 2

Set 3 Problem 8: Find the value of y if (2+i) divided by (1-i) equals i times (x+yi).

Answer 2

-1/2 (p.42)

Question 3

Set 5 Problem 44: Evaluate: (1-i)⁷.

Answer 3

8+8i (p. 84)

Question 4

Set 5 Problem 45: Evaluate: i^43-i^-10.

Answer 4

1-i (p. 84)