Today in class we looked at the syllabus - which can be viewed in the complex numbers page of this website - and proceed to look at three particular types of complex number questions mentioned therein:
HW is to revise notes and use deMoivre's theorem to find identities for Sin3A, Cos2A and Sin2A.
Class notes, HW identities and solutions are uploaded (click here)
- How to multiply and divide complex numbers in their polar form. To multiply the rule is "multiply moduli and add arguments" to divide "divide moduli and subtract arguments"
- Looked at drawing complex numbers in their polar forms using a compass and protractor. We also looked at constructing a lines of 'length square root of 2' and 'square root of 3'
- Looked at using deMoivre's theorem to show identity for Cos3A
HW is to revise notes and use deMoivre's theorem to find identities for Sin3A, Cos2A and Sin2A.
Class notes, HW identities and solutions are uploaded (click here)