2. a. Use Ptolemy's known chords from the reading (or from videos) and the half-angle chord identity to find the chords of the following angles: 30° and 45°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. b. Use Ptolemy's known chords from the reading (or from videos) and the supplementary angle chord formula to find the and the chord of 108°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. c. Use Ptolemy's known chords from the reading (or from class notes) and the chord sum formula (from class notes) to find the chord of 12°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. d. We wish to compare Ptolemy's chords with some known sines, namely sin 30°, sin 45°, and sin 60°. i. Convert sin 30°, sin 45°, and sin 60° to chords. ii. Compute the decimal approximations of these chords using the known chords from the reading (or from videos). iii. Compare with the decimal approximations of the exact values of sin 30°, sin 45°, and sin 60° that we know from high school.
2. a. Use Ptolemy's known chords from the reading (or from videos) and the half-angle chord identity to find the chords of the following angles: 30° and 45°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. b. Use Ptolemy's known chords from the reading (or from videos) and the supplementary angle chord formula to find the and the chord of 108°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. c. Use Ptolemy's known chords from the reading (or from class notes) and the chord sum formula (from class notes) to find the chord of 12°. You may answer this one with a decimal approximation. Do not use sine and cosine or the chord table. d. We wish to compare Ptolemy's chords with some known sines, namely sin 30°, sin 45°, and sin 60°. i. Convert sin 30°, sin 45°, and sin 60° to chords. ii. Compute the decimal approximations of these chords using the known chords from the reading (or from videos). iii. Compare with the decimal approximations of the exact values of sin 30°, sin 45°, and sin 60° that we know from high school.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
SOLVE them all please (A B C D )
Transcribed Image Text:2. a. Use Ptolemy's known chords from the reading (or from videos) and the half-angle chord identity to find
the chords of the following angles: 30° and 45°. You may answer this one with a decimal approximation. Do
not use sine and cosine or the chord table.
b. Use Ptolemy's known chords from the reading (or from videos) and the supplementary angle chord
formula to find the and the chord of 108°. You may answer this one with a decimal approximation. Do not use
sine and cosine or the chord table.
c. Use Ptolemy's known chords from the reading (or from class notes) and the chord sum formula (from class
notes) to find the chord of 12°. You may answer this one with a decimal approximation. Do not use sine and
cosine or the chord table.
d. We wish to compare Ptolemy's chords with some known sines, namely sin 30°, sin 45°, and sin 60°.
i. Convert sin 30°, sin 45°, and sin 60° to chords.
ii. Compute the decimal approximations of these chords using the known chords from the reading (or
from videos).
iii. Compare with the decimal approximations of the exact values of sin 30°, sin 45°, and sin 60° that we
know from high school.
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