 Art. 16 expresses the functions of «, whatever be its magnitude, in terms of each of the other functions of that angle if the ± sign be prefixed to the radicals. The definitions of the trigonometric functions (Art. 12) apply to angles of any size and...  Plane Trigonometry - Page 29by Elmer Adelbert Lyman, Edwin Charles Goddard - 1899 - 91 pagesFull view - About this book
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Plane trigonometry - 1893 - 434 pages
...value of the corresponding function of — A both in magnitude and in sign ; hence 106. We can always express the functions of any angle in terms of the functions of some positive acute angle. In the arrangement of the work it is advisable to follow a uniform plan.... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 156 pages
...it is seen that all the fundamental relations between the functions hold true for any value of «. The table of Art. 16 expresses the functions of «,...angle 0, greater than 360°, are the same as those of 9 ± n • 360°, since 6 and 6 ± n • 360° have the same triangle of reference. Thus the f auctions... | |
 | Elmer Adelbert Lyman - Trigonometry - 1900 - 218 pages
...between the functions hold true for any value of a. The table of Art. 16 expresses the functions of a, whatever be its magnitude, in terms of each of the...angle 0, greater than 360°, are the same as those of 0 ± n • 360°, since 0 and 0 ± n • 360° have the same triangle of reference. Thus the functions... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 246 pages
...it is seen that all the fundamental relations between the functions hold true for any value of «. The table of Art. 16 expresses the functions of «,...a positive acute angle. The functions of any angle в, greater than 3600, are the same as those of в ± n • 360°, since в and в ± n • 360° have... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 228 pages
...between the functions hold irue for any value of a. The table of Art. 16 expresses the functions of a, whatever be its magnitude, in terms of each of the...a positive acute angle. The functions of any angle 6, greater than 360°, are the same as those of 6 ± n • 360°, since 6 and 6 ± n • 360° have... | |
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