Question

How do you draw a polar curve?

For example, r=2+cos2(thetha)

You need to plot points where theta varies from 0 to 2pi, unless you have a graphing program (which I do). Your example looks like 2 overlapping circles.

so u mean that it can't be drawn by hand?

You can draw it by hand, but you need special polar coordinate graphing paper.

Generally polar equations cannot be drawn by hand very well. The equation you asked about looks something like overlapping circles which is difficult to draw accurately free-hand. To get some idea what it looks like try calculating points at pi/6 or 30deg intervals to get an idea what the graph looks like. Then connect the points with smooth curves. It definitely helps having access to some kind of graphing application when dealing with polar coordinates.

Answer 1

[AI-generated answer — Explain Bot]

Correct, polar curves can be challenging to draw accurately by hand, especially complex ones like the example you provided. However, you can approximate the shape by calculating points at regular intervals of theta and connecting them with smooth curves. The more points you calculate, the more accurate your approximation will be. But to get more precision and accuracy, it is recommended to use a graphing program or software that can plot polar curves. This allows you to visualize the curve more accurately and save time in the process.