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Complex Numbers 2 - madrasmaths.com

Complex Numbers 2 1. Evaluate 323 iusing the binomial theorem . 2. Expand 4sincos i using the binomial theorem . Hence express cos 4 as a polynomial in cos . 3. Find the fourth roots of -81i, and illustrate them on an Argand diagram. 4. By writing z in the form z = x + iy: a) Solve the equation 2=| |2 4; b) Find the solutions to the equation 2= (| |2 4). 5. Interpret geometrically in the Complex plane the equation62 zz, showing your answer on an Argand diagram.

Complex Numbers 2 1. Evaluate 3 2 3 i using the binomial theorem. 2. Expand cos isin 4 using the binomial theorem. Hence express cos 4 as a polynomial in cos .

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  Number, Complex, Theorem, Binomial theorem, Binomial, Complex numbers 2

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Transcription of Complex Numbers 2 - madrasmaths.com

1 Complex Numbers 2 1. Evaluate 323 iusing the binomial theorem . 2. Expand 4sincos i using the binomial theorem . Hence express cos 4 as a polynomial in cos . 3. Find the fourth roots of -81i, and illustrate them on an Argand diagram. 4. By writing z in the form z = x + iy: a) Solve the equation 2=| |2 4; b) Find the solutions to the equation 2= (| |2 4). 5. Interpret geometrically in the Complex plane the equation62 zz, showing your answer on an Argand diagram.


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