Question

$- \sqrt{3 } + i$
Modulus and amplitude
class +1
ex.5(c) ​

Answer 1

Answer:

Modulus = $2$

Amplitude = $\frac{5\pi}{6}$

Step-by-step explanation:

Modulus:

$|-\sqrt{3} + 1i~| = \sqrt{(\sqrt3)^2+1^2} = \sqrt{3+1} = \sqrt{4} = 2$

Amplitude:

$\tan \theta = \dfrac{1}{-\sqrt3}$

$\theta = \dfrac{5\pi}{6}$