Question

Find the Amplitude of i​

Answer 1

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Answer 2

☆[Question]☆

Find the Amplitude of i(1 + i).

♡[Answer]♡

Let z = i(1 + i)

or, z = i - 1

or, z = -1 +1

So it is clear that the point z lies on the second quadrant.

Therefore the amplitude of the complex number represented by z is

$= \pi - \tan { - }^{1} ( \frac{1}{ - 1} )$

$= \pi- tan { - }^{1} 1$

$= \pi - \frac{\pi}{4} = \frac{3\pi}{4}$

Hope it helps you mate!!!