   Chapter 10.4, Problem 69E

Chapter
Section
Textbook Problem

# Tangent Lines at the Pole In Exercises 73-80, sketch a graph of the polar equation and find the tangent line(s) at the pole (if any). r = 5 sin θ

To determine

To Graph:

The polar equation r=5sinθ and then find the tangent line at the pole.

Explanation

Graph:

Graph is given as below:

The ti-83 calculator steps are as follows::

Step1: Press MODE Key and select POL mode.

Step2: Press (Y=) Key.

Step3: Type the expression r1=5sinθ

Step4: Now press the (GRAPH) key

The curve generates when θ changes from [0,π]

Consider the equation r=f(θ)=5sinθ

Differentiate with respect to θ,

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