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1. nth roots of unity z n 1 2. nth roots of unity z n 1 the solutions of equations of the form, z n 1, are the nth roots of unity 3. nth…
1. nth roots of unity zn 1 2. nth roots of unity zn 1the solutions of equations of the form, z n 1, are the nth roots of unity 3. nth roots…
nth roots of unity 1nz nth roots of unity 1nz unity of rootsnth theare ,1 form, theof equations of solutions the nz nth roots of unity …
nth roots of unity 1nz nth roots of unity 1nz unity of rootsnth theare ,1 form, theof equations of solutions the nz nth roots of unity …
nth roots of unity 1nz nth roots of unity 1nz unity of rootsnth theare ,1 form, theof equations of solutions the nz nth roots of unity …
1. the argand diagram 2. the argand diagram complex numbers can be represented geometrically on an argand diagram. 3. the argand diagram complex numbers can be represented…
1. complex equations 2. complex equations if two complex numbers are equal, then their real parts are equal and their imaginary parts are equal 3. complex equations if two…
1. complex numberssolving quadratics 2. complex numberssolving quadraticsx2 1 0 3. complex numberssolving quadratics x2 1 0x 2 1 no real solutions 4.…
complex numbers solving quadratics complex numbers 012 x solving quadratics complex numbers 012 x solving quadratics solutionsrealno 12 x complex numbers…
1. mod-arg relations 2. mod-arg relations 1 z1 z2 z1 z2 3. mod-arg relations 1 z1 z2 z1 z2 arg z1 z 2 arg z1 arg z 2 4. mod-arg relations1…
1. complex numbers & trig identities (i) express cos 2 and sin 2 in terms of cos and sin 2. complex numbers & trig identities (i) express cos 2 and…
1. solving quadratics e.g . x 2 3 x 7 0 2. solving quadratics e.g . x 2 3 x 7 0 3 9 28 2 3 19 2x 3. solving quadratics…
1. geometrical representation ofcomplex numbers 2. geometrical representation ofcomplex numberscomplex numbers can be represented on the argand diagram as vectors. 3. geometrical…
1. factorising complex expressions 2. factorising complexexpressions if a polynomial’s coefficients are all real then the roots will appear in complex conjugate pairs.…
1. de moivre’s theorem cos i sin cos n i sin n nfor all integers n 2. de moivre’s theorem cos i sin cos n …
1. the argand diagramcomplex numbers can be represented geometrically on an argand y (imaginary axis) diagram. 4 3 2 1 -4 -3 -2 -1 -1 -2 -3123 4 x (real axis) 2. the argand…
1. complex numbers solving quadratics 2. complex numbers solving quadratics x2 1 0 3. complex numbers solving quadraticsx2 1 0 x 2 1no real solutions…
1. de moivre’s theorem 2. de moivre’s theorem cos i sin n cos n i sin nfor all positive integers n 3. de moivre’s theoremcos …
1. complex equations 2. complex equationsif two complex numbers are equal, then their real parts are equal andtheir imaginary parts are equal 3. complex equationsif two complex…
1. complex numberssolving quadratics 2. complex numberssolving quadraticsx2 1 0 3. complex numberssolving quadratics x2 1 0x 2 1 no real solutions 4.…