Question

find the rectangular coordinates of a point given in polar coordinates round your results to two decimal places [6,5pi/3]

Answer 1

To convert a number from polar to rectangular we need to apply the following expressions:

`\begin{gathered} x=r\cdot\cos (\theta) \\ y=r\cdot\sin (\theta) \end{gathered}`

Where r is the module of the polar number and theta is the angle. Using the values given to us we have:

`\begin{gathered} x=6\cdot\cos ((5\pi)/(3))=3_{} \\ y=6\cdot\sin ((5\pi)/(3))=-5.2 \end{gathered}`

The rectangular coordinates are (-5.2, 3)