Question

Consider the following. Fourth roots of −4 (a) Use the formula zk = n r cos...

Consider the following.

Fourth roots of −4

(a) Use the formula zk =

n r

cos

θ + 2πk
n

+ i sin

θ + 2πk
n

to find the indicated roots of the complex number. (Enter your answers in trigonometric form. Let 0 ≤ θ < 2π.)

z0 =
z1 =
z2 =
z3 =



(b) Write each of the roots in standard form.

z0 =
z1 =
z2 =
z3 =
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