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4. (a) Use de Moivre's theorem to prove that sin 70 = 7 sin0 - 56 sin30 + 112 sin50 - 64 sin'0 (b) Hence

4. (a) Use de Moivre's theorem to prove that sin 70 = 7 sin0 - 56 sin30 + 112 sin50 - 64 sin'0 (b) Hence find the distinct roots of the equation 1 + 7x - 56x3 + 112x5 - 64x7 = 0 giving your answer to 3 decimal places where appropriate

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