complex numbers 4

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a) Use de Moivre”s formula to to find Cartesian form of the complex number (-2+2isqrt(3))^5

b) Use Formula cos θ= 1/2 (e^i^θ + e^-i^θ) to obtain the identity

cos^5 θ=1/16(cos5 θ+5cos3 θ+10cos θ)

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