15. (a) Write down the sum of the geometric series z + z? + z³ + · . .+ z". (b) Hence, by putting z = e, show that: i0 sin no sin (n + 1) 0 sin 0 sin 0 + sin 20 + sin 30 + + sin no ... –1)T п- (c) Deduce that sin + sin 2 + sin + sin = cot . 2n: ... n n n

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