Question

Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which:

Answer 1

Hello there. To solve this question, we have to remember some properties about polar coordinates.

Given a point (x, y) and we want to plot the graph for (r, theta) after making the transformation, the graph will be something like the following:

In this case, we want to graph the point (5, 3pi/4)

First, notice 3pi/4 = 75º, which is in the first quadrant.

Therefore the graph will indeed look like the one above:

Which is the option contained in the first answer.