The polar form of a complex number z = x + yi is r*(cos A + i* sin A)

where tan A= y/x and r = sqrt (x^2 + y^2)

Here we have z = 6 - 8i

r = sqrt( 6^2 + 8^2) = sqrt (36 + 64) =...

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The polar form of a complex number z = x + yi is r*(cos A + i* sin A)

where tan A= y/x and r = sqrt (x^2 + y^2)

Here we have z = 6 - 8i

r = sqrt( 6^2 + 8^2) = sqrt (36 + 64) = sqrt 100 = 10

tan A = -8/6 = -4/3

A = arc tan (-4/3)

z = 10*( cos (arc tan(-4/3) + i* sin (arc tan(-4/3))

**The required polar form of z = 6 - 8i is z = 10*( cos (arc tan(-4/3) + i* sin (arc tan(-4/3))**