1a) Find the real numbers a and b such that
i5(3 - 2i)2 - (a - bi) = a - bi.
b. Let z1 = √3 + i and z2 = √3 - i. Show that
z161 + z261 = 261√3.
(Remember that: cos(- θ) = cos(θ), sin(θ) = -sin(θ) = -sin(θ), cos(2kπ + θ) = cos(θ) and sin(2kπ + θ) = sin(θ) )
1a)
b.
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