Question: Advanced Maths. Complex number (i) Write down the roots of the equation w= . [2] Hence, show that the values of z satisfying the equation

Advanced Maths. Complex number

(i) Write down the roots of the equation w= . [2] Hence, show that the values of z satisfying the equation (i -z) = iz are of the form , and state the values of & that give all the roots of the equation. 14] -kwi 1-e6 - do . Express each root of (i-z) = iz' in exact trigonometric form. [6] [() e pe z ; (ii) A = -5, -1,3 ; (iii) -cot( + 12 - cot( + - 2 2 2 12 cot 2 + 2 2

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