Referring to Figure 12, let a be the length of the chord AC of angle of

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Referring to Figure 12, let a be the length of the chord A̅C̅ of angle θ of the unit circle. Derive the following approximation for the excess of the arc over the chord:

D 0 A- as 24

Show that θ − a = θ − 2 sin(θ/2) and use the third Maclaurin polynomial as an approximation.

C a A b B 2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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