Cornu Spiral Consider the cornu spiral given by
(a) Use a graphing utility to graph the spiral over the interval .
(b) Show that the cornu spiral is symmetric with respect to the origin.
(c) Find the length of the comu spiral from to . What is the length of the spiral from to
T graph: The provided parametric functions and over the interval .
The functions are:
Use Ti83 to draw the graph as below:
Step1: Press MODE and select PAR for parametric equation.
Step2: Press “Y=”.
Step3: Press 2nd then MATH and enter 9 to select finite integral.
Step4: enter the function in X1 as “ ”
and Y1 as
Step5: Press WINDOW and enter the values:
To prove: The Cornu spiral formed by the function and where is symmetric with respect to origin.
To calculate: The length of the Cornu spiral from to . Also, find the length of the spiral from to .
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