Convert the polar representation of this complex number into its standard form:

z = 2 (cos7pi/6 + isin7pi/6)

Question

Mathematics

Travis Harris

31 July, 08:32

Convert the polar representation of this complex number into its standard form:

z = 2 (cos7pi/6 + isin7pi/6)

+5

Answers (1)

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Andrew · Answer 1

Step-by-step explanation:

z = 2 (cos7π/6 + isin7π/6)

cos7π/6 = cos (π/6+π) = - cos (π/6) = - √3 / 2

sin7π/6 = sin (π/6+π) = - sin (π/6) = - 1 / 2

so : z = 2 ( - √3 / 2+i ( - 1 / 2))

z = - √3 - i ... (standard form)

Convert the polar representation of this complex number into its standard form:z = 2 (cos7pi/6 + isin7pi/6)

Convert the polar representation of this complex number into its standard form:

z = 2 (cos7pi/6 + isin7pi/6)