(i) Write down the roots of the equation w=N. i Z 1 Hence, show that the...

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(i) Write down the roots of the equation w=N. i Z 1 Hence, show that the values of z satisfying the equation (i-z) = iz are of the form [2] ' and state the values of k that give all the roots of the equation. [4] =-do- [(i) e 1-e6 ki Express each root of (i-z) = iz in exact trigonometric form. (0) (0) (0) (0) k=-5,-1,3: (i) 2000(2)+ ; 1. 1 e cot( +-i, 12 [6] (2)+1,- \cot() +i] 5 (i) Write down the roots of the equation w=N. i Z 1 Hence, show that the values of z satisfying the equation (i-z) = iz are of the form [2] ' and state the values of k that give all the roots of the equation. [4] =-do- [(i) e 1-e6 ki Express each root of (i-z) = iz in exact trigonometric form. (0) (0) (0) (0) k=-5,-1,3: (i) 2000(2)+ ; 1. 1 e cot( +-i, 12 [6] (2)+1,- \cot() +i] 5