Express the following complex number in polar form and exponential form. -1


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Let z = -1 = -1 + 0.i

a = -1, b = 0

z lies on negative real X-axis.

|z| = r = \(\sqrt{a^2+b^2}\) = \(\sqrt{(-1)^2+0^2}\) = 1 and

θ = amp z = 180° = π

The polar form of z = r (cos θ + i sin θ)

= 1 (cos 180° + i sin 180°)

= 1 (cos π + i sin π)

The exponential form of z = re = eπi

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