Excel Interpretation of the Parametric Equations

When a = b the follwoing worksheet was used to determine the chart:

a*cos(t)

b*sin(t)

a

b

x

y

t

3

3

3

0

0

3

3

2.60

1.5

0.52

3

3

1.5

2.60

1.05

3

3

0

3

1.57

3

3

-1.5

2.60

2.09

3

3

-2.60

1.5

2.61

3

3

-3

0

3.14

3

3

-2.60

-1.5

3.66

3

3

-1.5

-2.60

4.19

3

3

0

-3

4.71

3

3

1.5

-2.60

5.23

3

3

2.60

-1.5

5.76

3

3

3

0

6.28

The highlighted rows indicate the x-intercepts and y-intercepts of the graph, examine the symmetry over the x-axis and y-axis.

 

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