Original post by grhas98
For part a of this question, I could obviously use demoivres for each bit and expand but the question is only 4 marks, is there a slightly quicker way?
For cos(6x) its just the even power terms in pascals triangle/binomial/demoivre, sin(4x) is the odd powers and sin(2x) is trivial so thats probably what they want.
(edited 10 months ago)
Original post by grhas98
For part a of this question, I could obviously use demoivres for each bit and expand but the question is only 4 marks, is there a slightly quicker way?
You must use the method you are told to ...
Original post by mqb2766
For cos(6x) and cos(4x) its just the even power terms in pascals triangle/demoivre and sin(2x) is trivial so thats probably what they want.
If I was doing the exam I'd probably also use De Moivre to prove the sin(2x) identity to be on the safe side.
Original post by Notnek
If I was doing the exam I'd probably also use De Moivre to prove the sin(2x) identity to be on the safe side.
I think its tripos (Q11)
https://www.maths.cam.ac.uk/undergradnst/files/2019/papernst_ia_1_2019.pdf
But no harm in being safe, if necessary.
(edited 10 months ago)
Original post by mqb2766
I think its tripos (Q11)
https://www.maths.cam.ac.uk/undergradnst/files/2019/papernst_ia_1_2019.pdf
But no harm in being safe, if necessary.
https://www.maths.cam.ac.uk/undergradnst/files/2019/papernst_ia_1_2019.pdf
But no harm in being safe, if necessary.
I was going to say how on earth is this a Tripos question, then I looked and saw that it was Natsci, so ...
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