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? asked in Science & MathematicsMathematics · 2 months ago

Complex number in modulus argument form ?

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  • 2 months ago

    a) uv = 2*3√2 cis(π/3 -π/6) = 6√2 cis(π/6)

    for this case module are to be multiply while argument are to be added b) u/v = 2/3√2 cis(π/3 +π/6) =√2 /3 cis(π/2) = √2 /3(0+i*1) = i*√2 /3c) u³v² = 2³*(3√2)² cis (3*π/3 + 2*π/6) = 144cis(4π/3)d) u⁻⁴ = ⁴√2cis((π/3)/4) = ⁴√2cis(π/12)e) (uv)² = (6√2 cis(π/6))² = see point a)= (6√2)² cis((π/6)*2) = 72cis(π/3)

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