Given z = -1 - sqrt(3)i
What is the value of theta?
I got pi/3 but that is not right, the correct answer is -2pi/3
Thanks
Hello, taurus!
Did you make a sketch?
Given: .$\displaystyle z \:= \:-1 - i\sqrt{3}$
What is the value of $\displaystyle \theta$ ?Code:| | | -1 | - - + - - * - - - - : /| _ : / | -√3 : / | : / | :/ | * |
Can you see that the angle is: .$\displaystyle \theta \;=\;240^o\,\text{ or }\,\text{-}120^o$ ?
In radians: .$\displaystyle \theta \;=\;\frac{4\pi}{3}\,\text{ or }\,\text{-}\,\frac{2\pi}{3}$