Question

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

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

Answer 1

- sqrt (3) - i

Explanation:

Answer 2

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)