Question: Advanced Maths. Complex Number (b) Given that z = e and n is a positive integer, show that -= cos0 -ising Z (ii) + =

Advanced Maths. Complex Number

(b) Given that z = e" and n is a positive integer, show that -= cos0 -ising Z (ii) + = exosno. Z Hence, by finding the binomial expansion for ( z + 1 , express cos' 0 in the form pcos 30 + qcos0, where p and q are constants to be determined. [6] [(a) 2 = 2+ 2i or z = -14 -2i ; (b) p= = and q = 4 4

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