represent the -3-3i in argands diagram
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Answer:
Step-by-step explanation:
ANSWER
Let z=r(cosθ+isinθ), then
z+iz=r(cosθ+isinθ)+ir(cosθ+isinθ)
=r[(cosθ−sinθ)+i(sinθ+cosθ)]
=
2
r[cos(θ+
4
π
)+isin(θ=
4
π
)]
In △OPQ,
PQ
2
=r
2
+(
2
r)
2
−2r(
2
r)cos
4
π
=r
2
+2r
2
−2r
2
=r
2
∴PQ=r,
∴∠OPQ=
2
π
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