 | Richard Wormell - 1869 - 270 páginas
...the sines of the opposite angles ; hence in the triangle AMC RF _F sin A sin ACM sin AMC But since the sine of an angle is equal to the sine of its supplement, if we write (RF) for the angle between R and F we obtain RFF sin (FF) (sin RF) ~ (sin RF) If R', F,... | |
 | Aaron Schuyler - 1873 - 536 páginas
...produced. p = b sin A and p = a sin CBD. But CBD is the supplement of CBA, or I? of the triangle. Since the sine of an angle is equal to the sine of its supplement, sin CBD = sin B; . • . p = a sin B. . • . b sin A = a sin B. . -. (1) sin A : sin B : : a : b.... | |
 | Aaron Schuyler - 1875 - 284 páginas
...produced. p = b sin A and p = a sin CBD. But CBD is the supplement of CBA, or B of the triangle. Since the sine of an angle is equal to the sine of its supplement, sin CBD = sin B; . • . p = a sin B. .'. b sin A = a sin B. . ' . (1) sin A : sin B : : a : b. In... | |
 | William Guy Peck - 1876 - 412 páginas
...log sin D=(a•c) log sin 93° . 0.000596 .•. a = log-1 2.349703 = 223.72 yds. Note. — Because the sine of an angle is equal to the sine of its SUJH plement, log sin 93° is equal to log sin 87°. 3°. From formula (H), by changing a and A, into... | |
 | University of Oxford - 1879 - 414 páginas
...the angle is less than 1 80°, (2) when it is greater than 180° and less than 360° ? 3. Prove that the sine of an angle is equal to the sine of its supplement. If sin A = cos A = — j=> find the values of sin V2 (90° + A) and c03(360°—^). 4. Prove that :... | |
 | John Charles Snowball - 1880 - 256 páginas
...determined from (ii), С and с are known from (i) and (iii), and the triangle is determined. But since the sine of an angle is equal to the sine of its supplement, there are two values of the angle Б which satisfy (ii), the one greater and the other less than 90°.... | |
 | Walter Marsham Adams - 1881 - 76 páginas
...sin/3" It is evident, therefore, that both 7 and с depend upon the value of (127), which, however, as the sine of an angle is equal to the sine of its supplement, gives two values for a according as the smaller or larger angle is taken. Now, if 6 is greater than... | |
 | 1883 - 248 páginas
...is equal to the product of two adjacent sides into the sine of the angle between them. Also, since the sine of an angle is equal to the sine of its supplement the area of any quadrilateral is equal to half the product of its two diagonals into the sine of their... | |
 | Webster Wells - 1883 - 234 páginas
...the supplement of the angle obtained from the tables must be taken. If the function is я sine, since the sine of an angle is equal to the sine of its supplement, both the acute angle obtained from the tables and its supplement must be regarded as solutions, unless... | |
 | Webster Wells - 1887 - 200 páginas
...the acute angle obtained from the tables must be taken (Art. 47) . If the function is a sine, since the sine of an angle is equal to the sine of its supplement, both the acute angle obtained from the tables and its supplement must be retained as solutions, unless... | |
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The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig. 
