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    Complex Numbers Argand Q

    Hello, For this question, I know how to correctly sketch the locus but I don't know how to find its point of intersection with the Imaginary axis (which this question needs you to label). I am somewhat aware that you need to first find the centre and radius of the circle that the locus is a...
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    Kb question

    Hi, why is the Kb of sodium acetate the same as the Kb of the acetate ion itself? I know that sodium acetate is basic because it has the conjugate base of a weak acid (acetic acid) and sodium is neutral, but I also thought that sodium acetate would be a different base compared to just the...
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    Another De Moivre's & Trig Question

    Hi, for part b of this question (Cambridge Exercise 3F Q12), I solved up to the part where θ = π/2, 3π/2, etc, following the attached solution below. I understand that you need to omit the root of cosθ=0 from the roots of cos5θ to get the required roots, but cosθ=0 would happen for all π/2...
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    Complex De Moivre's & Trig Question

    Hi, I attempted part b of this question (Cambridge X2 Exercise 3B Q14) and thought I got the answers but they were incorrect. I think I got it wrong when I equated 8θ = 0, π, 2π, etc. but I'm not sure. Would someone be able to tell me how I went wrong? I have attached my solutions and the actual...
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