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  1. B

    Complex Numbers: Equation involving the argument operator.

    Cool beans, Is there a simple way to solve these though? A shortcut method? Wait, I found it... It's the line created from the points z1= -1-2i and z2 = 2+3i Gradient = \frac{3 - (-2)}{2 - (-1)} = \frac{5}{3} y = \frac{5}{3}x + b (-2) = \frac{5}{3}(-1) + b -6 = -5 + 3b -1 = 3b b =...
  2. B

    Complex Numbers: Equation involving the argument operator.

    Homework Statement Question: Homework Equations Any relevant to complex numbers. The Attempt at a Solution Given, Arg(\frac{z}{w})= Arg(z)-Arg(w) z=x+yi z1 = -1-2i z2 = 2+3i Arg(z-z1)=Arg(z2-z1) LHS: Arg(x+yi+1+2i) Arg((x+1) + i(y+2)) tan(\theta)=\frac{y+2}{x+1}...
  3. B

    Trig identity proof.

    Prove: \frac{CosθSinθ}{1 + Tanθ} = Cos2θ =========================== I multiply out the denominator to get: CosθSinθ = Cos2θ + CosθSinθ I cannot seem to prove it. Starting to think it's a trick question.. :/
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