Convert (8, 2π/3) into Argand plane representation.(a) (-4, 4\(\sqrt{3}\))(b) (4, 4\(\sqrt{3}\))(c) (4\(\sqrt{3}\), 4)(d) (-4\(\sqrt{3}\), 4)The question was asked during a job interview.Asked question is from Argand Plane and Polar Representation in division Complex Numbers and Quadratic Equations of Mathematics – Class 11

Convert (8, 2π/3) into Argand plane representation.(a) (-4, 4\(\sqrt{

1.	Convert (8, 2π/3) into Argand plane representation.(a) (-4, 4\(\sqrt{3}\))(b) (4, 4\(\sqrt{3}\))(c) (4\(\sqrt{3}\), 4)(d) (-4\(\sqrt{3}\), 4)The question was asked during a job interview.Asked question is from Argand Plane and Polar Representation in division Complex Numbers and Quadratic Equations of Mathematics – Class 11
Answer» Right option is (a) (-4, 4\(\sqrt{3}\)) To EXPLAIN I would SAY: To CONVERT polar representation (r, θ) into argand plane (x, y), substitute x=r cos θ and y=r sin θ. x=8COS 2π/3 = 8cos(π-π/3) = 8(-1/2) = -4. y=8sin 2π/3 = 8sin(π-π/3) = 8(\(\sqrt{3}\)/2) = 4\(\sqrt{3}\).

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