(Check it out on a graphing calculator, where you can see it!) You can use a t-chart, or set the polar equation to 0 if the graph crosses the pole, and test points in between. Here are some examples: Learn these rules, and practice, practice, practice!Click on Submit (the arrow ...
Using a graphing calculator, we can see that the equationr=2sinθr=2sinθ is a circle centered at(0,1)(0,1)with radiusr=1r=1and is indeed symmetric to the lineθ=π2.θ=π2.We can also see that the graph is not symmetric with the polar axis or the pole. See (Figure). Figu...
The asymptotes give the guidance we need to graph hyperbolas quickly. The fastest way to find the equations of the asymptotes is to replace the 1 in Equation (10) by 0 and solve the new equation for y : 2 2 2 2 x y x y b 2 - 2 = 1 : 2 - 2 = 0 : y = ; a x . a...