   Chapter 10.4, Problem 90E

Chapter
Section
Textbook Problem

# Asymptote In Exercises 93-96, use a graphing utility to graph the equation and show that the given line is anasymptote of the graph.Name of Graph Polar Equation AsymptoteConchoid r = 2 + csc θ y = 1

To determine

To Graph:

The polar equation by graphing utility and then show that given line y=1 is an asymptote of graph.

Explanation

Given:

The graph of conchoids with polar equation r=2+cscθ and the equation of asymptote is y=1.Graph:

Given equation of conchoid is r=2+cscθ

The ti-83 calculator steps are as follows:

Step1: Press MODE Key and select POL mode.

Step2: Press (Y=) Key.

Step3: Type the equation r1=2+cscθ

Step4: Now press the (GRAPH) key.

The graph of the equation is shown belowand it shows that it has polar axis symmetry.

Proof:

The polar equation is r=2+cscθ

The polar equation can be written as als,

r=2+1sinθ

r=2+rr

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