Differentiation of Inverse sine or Inverse tan
calculate conjugates of sums or products of Complex numbers
Verify and Justify formulae from number patterns
Investigate geometric sequences and series
Derive a formula for the sum to infinity of a geometric series by considering the limit of a sequence of partial sums , could be asked after you have proved the Sn by induction
(Just find the limit as n goes to infinity of the Sn)
Useful information
Be able to write a complex number in polar form using your calculator.
The sum of the roots of every Polynomial is -b/a
The product of the roots of a quadratic equation is c/a and for a cubic equation is -d/a
Be aware of the conjugate roots theorem and the cubic roots of 1.
Be able to use the factor theorem
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