Determine the main set of polar coordinates of points which are rectangular coordinates:
$\displaystyle (0,-2)$
$\displaystyle p=\sqrt{0^2+(-2)^2}$
$\displaystyle p=+or-2$
How do I find the angle?
The answer is:
$\displaystyle (2,270°)$
Determine the main set of polar coordinates of points which are rectangular coordinates:
$\displaystyle (0,-2)$
$\displaystyle p=\sqrt{0^2+(-2)^2}$
$\displaystyle p=+or-2$
How do I find the angle?
The answer is:
$\displaystyle (2,270°)$
Hi Apprentice123,
Given the coordinates $\displaystyle (a,b)$ the angle $\displaystyle (\theta)$ is given by $\displaystyle \arctan\left(\frac{b}{a}\right)$ Thus in this case $\displaystyle \theta=\arctan\left(\frac{-2}{0}\right)$ Note two things. The first is that $\displaystyle \frac{-2}{0}$ is undefined so we want $\displaystyle \theta $ such that $\displaystyle \tan(\theta)$ is undefined. The second is that the coordinates $\displaystyle (0,-2)$ are in the fourth quadrant and thus so is your angle.
The answer follows.