COMPLEX NUMBERS

RATIONALISING THE DENOMINATOR

Express z in the form a+bi where a,b are real numbers.
SOLUTION

2003 I 3b(ii), 2001 I 3a, 2000 I 3b(i), 1998 I 3c, 1995 I 3a, 1994 I 3b(i).

EQUATING REAL AND IMAGINARY COEFFICIENTS

2004 I 3a, 2002 I 2b(i)(ii), 2000 I 3b(ii) 1999 I 3c(i), 1997 I 3b, 1994 I 3c.

MINUS B FORMULA

2005 I 3b, 1996 I 3b.

POLAR FORM

2004 I 3b(i), 2002 I 3a, 1998 I 3a, 1996 I 3c(i).

EXPANDING A BRACKET WITH DE MOIVRE’S THEOREM

2005 I 3c, 2000 I 3c(ii), 1996 I 3c(ii), 1994 I 3b(ii).

DE MOIVRE’S THEOREM AND ROOTS

1999 I 3c(ii) 1997 I 3c(ii).

CUBE ROOTS OF UNITY
Find the solutions to

SOLUTION

2003 I 3c.

CONJUGATE ROOTS THEOREM

1999 I 3b

SUBSTITUTION

2003 I 3b(i), 1997 I 3c(i).

PROOFS

2004 I 3b(ii)
2000 I 3c(i)
1995 I 3b