Question

Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

r = sin θ

Answer 1

Step 1:

The polar equation .

Symmetry with respect to the line .

Maximum value of : when .

Zeros of : when .

Construct a table for a different values of .

Step 2:

Graph:

Draw the polar coordinate plane.

Plot the zero coordinate and maximum coordinate .

Plot the additions polar coordinates found in the table.

Connect the points with smooth curve.

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Solution:

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