| Section | Problems |
|---|---|
| 3.4 | 3, 5, 7, 19, 21, 23, 25, 29, 47, 49, 73 |
| 3.5 | 13, 15, 19, 25, 33, 39, 41acegi, 43, 51, 65 |
| 3.6 | 5, 7, 15, 23, 25, 27, 29, 31, 39, 41, 47, 49 |
| 3.7 | 9, 11, 15, 21, 23, 29, 37, 45, 53 |
| 4.5 | 3, 5, 7, 9, 13, 17, 21, 23, 37, 45, 47 |
| 5.2 | 3, 7, 9, 11cfhi, 41, 45 |
| 5.3 | 3, 5, 7, 11, 13, 15, 17, 21, 27 |
| 5.4 | 1def, 3d, 5, 13, 15abcdfg, 17bcdf, 19bcdf, 23, 25, 29, 35acdi, 45, 47, 55, 63 |
| 5.5 | 3, 9, 17, 21, 23, 25, 27, 29, 35, 39, 53 |
| 5.6 | 11, 15, 17, 19, 51, 55b |
| 6.1 | 5b, 7b, 9, 13, 17, 31a, 37ab |
| 6.2 | 5, 7, 11, 13, 17, 19, 23, 37, 55, 57, 61, 81 |
| 6.3 | 3, 9, 11, 13, 17, 19, 21, 27, 29, 31 |
| 6.4 | 7, 9, 11, 13, 15, 17, 43 |
| 6.5 | 1abef, 7, 11, 13, 19, 23, 27, 31, 33, 37, 41, 43, 45 |
| 6.6 | 1, 5, 9, 15, 35, 39, 45 |
| 6.7 | 1, 5, 27, 31, 35, 45, 49, 51 |
| 7.1 | 1, 5, 7, 13, 15, 21, 35, 43 |
| 7.2 | 1, 5, 7, 11, 15, 21, 27, 37, 41, 43, 53, 67 |
| 7.3 | 5, 7, 13, 17, 21, 23, 27, 29, 35, 41, 55, 57 |
| 7.4 | 1, 3, 5, 9bc, 11, 13, 15, 17, 25, 35, 37 |
| 5.1 | 1, 3, 5, 7, 11, 17, 19, 25, 27, 29, 35 |
| 7.6 | 1, 3, 7, 11, 13, 15, 17ab, 19ab, 23, 25, 27, 35, 39, 71 |
| 8.1 | 1, 7, 11, 19, 23, 27 |
| 8.2 | 3, 5, 7, 12, 17, 25 |
| 8.5 | 1, 5, 9, 11, 15, 17, 21, 23, 27, 29, 31, 39, 49, 51, 53 |
| 8.6 | 1, 5, 9, 15, 17, 19, 23, 27, 31 |
| 11.5 | 1, 3, 7, 9, 13, 15, 19, 25, 27, 29, 35, 39, 41, 45, 47, 49, 53, 57, 65, 67 |
| 11.1 | 3, 5, 13, 15, 17, 19, 21, 23, 25, 43 |
| 11.2 | 1, 5, 9, 15, 17, 19, 21, 27, 47 |
The meaning of the word "sine." The Sanskrit word for chord-half was jya-ardha, which was sometimes shortened to jiva. This was brought into Arabic as jiba, and written in Arabic simply with two consonants jb, vowels not being written. Later, Latin translators selected the word sinus to translate jb thinking that the word was an arabic word jaib, which meant breast, and sinus had breast and bay as two of its meanings. In English, sinus was imported as "sine".
This word history for "sine" is interesting because it follows the path of trigonometry from India, through the Arabic language from Baghdad through Spain, into western Europe in the Latin language, and then to modern languages such as English.
