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just wondering if anyone knows whether or not this is accepted in the HSC, because it makes things a lot easier sometimes. It goes something like 'if a plane of area A is rotated around an axis R [where the axis does not cut the area] then the volume is given by V = 2piRA'. Note this only applys...

sorry about the triple post, my bad, it kept saying that the internet timed out or something ... anyway: "the point P representing z (= x + iy) in the Argand diagram lies on the line 6x + 8y = R where R is real. Q is the point representing (R^2)/z. Prove that the locus of Q is a circle and...

please help me: "find the roots of z^6 + 1 = 0 and hence resolve z^6 + 1 into real quadratic factors; deduce that cos3x = 4(cosx - cos[pi/4])(cosx - cos[pi/2])(cosx - cos[{5pi}/6])

This comes from Patel's book: "Find the roots of z^6 + 1 = 0 and hence resolve z^6 + 1 into real quadratic factors; deduce that cos3x = 4(cosx - cos[pi/6])(cosx - cos[pi/2])(cosx - cos[{5pi}/6])" Please help

This comes from Patel's book: "Find the roots of z^6 + 1 = 0 and hence resolve z^6 + 1 into real quadratic factros; deduce that cos3x = 4(cosx - cos[pi/6])(cosx - cos[pi/2])(cosx - cos[{5pi}/6])" Please help

My teacher couldn't do this, and I don't know where to begin. How do I simplify i to the i?