Plane Trigonometry And Applications
Plane Trigonometry And Applications
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In our eReader you can find the full English version of the book. Read Plane Trigonometry And Applications Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Plane Trigonometry And Applications
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Figures 84 to 87 illustrate the line representation of the GRAPHS OF FUNCTIONS 155 trigonometric functions for an angle in each one of the four quadrants. In each of these figures MP = sin e, AT= tan <9, 0T= sec 0, 0M= cos e, BT' = cot 6, 0T' = esc 0. These line representations of tau 6 and sec 6 suffice to explain why the names tangent and secant were chosen for these functions. The word sine is not capable of such a simple explanation and has a long and complicated history. The Greeks did not use the six functions which we have introduced. In place of the sine of an angle they made use of the chord PQ, subtended by the angle POQ, on a circle of known radius. (See Fig. 88. ) If the circle has a unit radius, Fig. 88 shows that this chord PQ is equal to twice QR, or Fig. 88 PQ = 2 sin ^ POQ. Thus the chord, used by the Greeks, is essentially twice the sine of half the angle. Aryabhata, a famous Hindoo mathematician (born 476 a. D. ), was apparently the first to introduce the sine of the angle in place of the chord, and he, quite naturally, spoke of it as the half-chord or jyd-ardhd, where J yd is the Sanskrit for chord or bowstring and ardhd for one half.
What to read after Plane Trigonometry And Applications?
You can find similar books in the "Read Also" column, or choose other free books by E J Ernest Julius Wilczynski to read online
To quickly assess the difficulty of the text, read a short excerpt:
Figures 84 to 87 illustrate the line representation of the GRAPHS OF FUNCTIONS 155 trigonometric functions for an angle in each one of the four quadrants. In each of these figures MP = sin e, AT= tan <9, 0T= sec 0, 0M= cos e, BT' = cot 6, 0T' = esc 0. These line representations of tau 6 and sec 6 suffice to explain why the names tangent and secant were chosen for these functions. The word sine is not capable of such a simple explanation and has a long and complicated history. The Greeks did not use the six functions which we have introduced. In place of the sine of an angle they made use of the chord PQ, subtended by the angle POQ, on a circle of known radius. (See Fig. 88. ) If the circle has a unit radius, Fig. 88 shows that this chord PQ is equal to twice QR, or Fig. 88 PQ = 2 sin ^ POQ. Thus the chord, used by the Greeks, is essentially twice the sine of half the angle. Aryabhata, a famous Hindoo mathematician (born 476 a. D. ), was apparently the first to introduce the sine of the angle in place of the chord, and he, quite naturally, spoke of it as the half-chord or jyd-ardhd, where J yd is the Sanskrit for chord or bowstring and ardhd for one half.
What to read after Plane Trigonometry And Applications?
You can find similar books in the "Read Also" column, or choose other free books by E J Ernest Julius Wilczynski to read online
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