so that just leaves for ext. 2 the or otherwise method for the 11eii
an obvious way would be binomial expansion method
u dunno the marking criteria during exam, but u do know it 2 mark
they say "
obtains correct number in modulus-argument form, or equivalent merit" for 1 mark
not clear here if the binomial expansion would constitute equivalent merit, but that may be made clearer in next years nesa presentation which occurs on or about the last saturday of february
if one proceeds with this we get
^7=\sqrt3^7+7\sqrt3^6i+21\sqrt3^5i^2+35\sqrt3^4i^3+35\sqrt3^3i^4+21\sqrt3^2i^5+7\sqrt3i^6+i^7=-64\sqrt3-64i)
but more controvesially some calculators can do the complex numbers so what if one proceeds with this:
^7=-64\sqrt3-64i)
do that get the 2 mark? nesa allow calculator, so should they really penalise for using it to get answer?
one may argue it don't show any understanding other than how to press buttons on calculator so don't deserve 2 mark.
on the other hand it does show ability to use whatever technology is available to get answer and use of technology is in syllabus, and so should get the 2 mark.
