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Prove that 1+z+z^2+z^3 = (1-z^4)/(1-z) Use this result and z=cos @ + isin @ to prove that: 1 + cos@ + cos2@ + cos3@ = (1/2)[1+(sin(7@/2))/(sin@/2)] I can prove the first bit, but completely off the deep end with the second part. :confused:

I haven't done the 08 test, but in another 2001 specimen test there was a multiple choice question that read "Historically, in which court were the principles of equity developed?" and the answer was "The Chancellor's Court." Why do I remember? Because I put Kings Court when my teacher gave...

Does anyone know websites or textbooks that have something about the different text types and how you write them? I'm kind of confused with some of them >.< Like for emails, are they plain form or polite?

Whaaa o_o Other schools have already started Extension Jap for '09?! We've only been briefed on the subject T.T

A rotating light L is situated at sea 180 metres from the nearest point P on a straight shoreline. The light rotates through one revolution every 10 seconds. Show that the rate at which a ray of light moves along the shore at a point 300 metres from P is 136(pi) m/s. Thanks.