Find the exact values of $x$ and $y$, where $x,y\in \mathbb{R}$, such that $2{{e}^{-\left( \frac{3+x

Question

Find the exact values of $x$ and $y$, where $x,y\in \mathbb{R}$, such that $2{{e}^{-\left( \frac{3+x+\mathbf{i}y}{\mathbf{i}} \right)}}=1-\mathbf{i}$ . [4]

Accepted Answer

$ x = -\frac{\pi}{4} - 3 $, $ y = -\ln\left(\frac{\sqrt{2}}{2}\right) $

2017 ACJC P1 Q7(b)

2017 ACJC P1 Q7(b)

Video Solution:

Solution:

Solution locked