When we have graphed rectangular equations in the past, we started by creating a table of values. We then plotted the points from the table and connected them with a continuous curve. We can approach graphing polar equations in the same way. This starts with understanding their coordinates and is best seen by looking at some examples.
Consider the point $\left(8,\frac{11\pi}{6}\right)$(8,11π6), in polar coordinates.
This point is $\editable{}$ units away from the pole on a polar grid.
What is the size of the angle that the point makes with the polar axis? Give your answer in radians.
Which of the following shows the location of $\left(8,\frac{11\pi}{6}\right)$(8,11π6) on a polar grid?
Convert the point $\left(9,5\right)$(9,5) from rectangular coordinates to polar coordinates $\left(r,\theta\right)$(r,θ), where $0\le\theta<2\pi$0≤θ<2π. Give each value correct to two decimal places.
Convert the point $\left(4,\left(-46\right)^\circ\right)$(4,(−46)°) from polar coordinates to rectangular coordinates $\left(x,y\right)$(x,y). Give each value correct to two decimal places.