59. Referring to Figure 14, let a be the length of the chord AC of angle 0 of the unit circle. Derive the following approximation for the excess of the arc over the chord: 03 24 Hint: Show that 0- a = 0 – 2 sin(0/2) and use the third Maclaurin polynomial as an approximation. b. FIGURE 14 Unit circle.

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59. Referring to Figure 14, let a be the length of the chord AC of angle 0 of the unit circle. Derive the following
approximation for the excess of the arc over the chord:
03
24
Hint: Show that 0- a = 0 – 2 sin(0/2) and use the third Maclaurin polynomial as an approximation.
b.
FIGURE 14 Unit circle.
Transcribed Image Text:59. Referring to Figure 14, let a be the length of the chord AC of angle 0 of the unit circle. Derive the following approximation for the excess of the arc over the chord: 03 24 Hint: Show that 0- a = 0 – 2 sin(0/2) and use the third Maclaurin polynomial as an approximation. b. FIGURE 14 Unit circle.
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