Find the principal arguments of the following Complex Number
(i) $5 + 5 i$

Open in App

Solution

Given,

$z = 5 + 5 i = a + i b$

Principle argument,

$θ = {tan}^{- 1} (\frac{b}{a}) = {tan}^{- 1} (\frac{5}{5}) = {tan}^{- 1} (1)$

$∴ θ = \frac{π}{4}$

Suggest Corrections

Similar questions

s i n \frac{6 π}{5} + i (1 + c o s \frac{6 π}{5})

sin \frac{6 π}{5} + i (1 + cos \frac{6 π}{5})

z = \frac{\sqrt{5 + 12 i} + \sqrt{5 - 12 i}}{\sqrt{5 + 12 i} - \sqrt{5 - 12 i}}

z = \frac{\sqrt{5 + 12 i} + \sqrt{5 - 12 i}}{\sqrt{5 + 12 i} - \sqrt{5 - 12 i}}

6 (cos 310^{o} - i sin 310^{o})

Join BYJU'S Learning Program