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Given that: z^n + z^{-n} = 2cos{n\theta} Where z = cos{\theta} + sin{\theta} Show that: 4cos{\theta}cos{2\theta}cos{3\theta} = 1 + cos{2\theta} + cos{4\theta} + cos{6\theta} This was from a past half yearly paper from my school.

English Advanced - Finished AOS, just started module A. English Extension - Reading some poems by T.S.Eliot and analysing them. Mathematics 2U - Revising algebra and doing absolute values/other inequalities. Mathematics Extension - Finished circle geo, doing harder algebra now. Physics -...

You have to show the above. Thanks in advance for whoever helps.

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Who do you have? Are the physics/chem/maths teachers any good at our school for year 11/12?