 Hence, since the sines of the angles of a triangle are proportional to the lengths of the opposite sides...  Surveyor 1 and C - Page 227by United States. Bureau of Naval Personnel - 1955 - 380 pagesFull view - About this book
 | Henry Pearson - Algebra - 1833 - 164 pages
...several excesses above each of the three sides. sin A a sin A a sin B b sin B b sin C c sin C c Or the sines of the angles of a triangle are proportional to the opposite sides. tan a + b ab tan Or the sum of two sides of a triangle is to their difference, or the... | |
 | John Charles Snowball - 1837 - 322 pages
...the lengths of the sides respectively opposite to the angles А, B, С, by the letters a, b, c. 70. The sines of the angles of a triangle are proportional to the sides respectively opposite. Let ABC be the triangle. Draw CD perpendicular to AB, or AB produced either... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...rtan-4f tan 5' tan (7', since -4', 5', C", fulfil the condition of (A) ; therefore and 1848. (A). Prove that the sines of the angles of a triangle are proportional to the opposite sides. (5). Hence deduce the expression for the cosine of an angle in terms of the sides.... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...B. 15. Express sin 2 A in terms of tan A. Given tan - = 2 - \/3, find sin A, and thence A. 16. Prove that the sines of the angles of a triangle are proportional to the opposite sides. Hence deduce the expression for the cosine of an angle in terms of the sides. 17. Express... | |
 | James Pryde - Navigation - 1867 - 506 pages
...' - = -, or that sin. В : sin. С = b : c. sm. С с Hence also sin. A sin. В sin. C' 133. Hence the sines of the angles of a triangle are proportional to the opposite sides. By this principle just proved the sides and angles of a triangle can all be found when... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...their sum is never less than 2. 2. If tan2A = -96386, find the angle A to the nearest second. 3. Prove that the sines of the angles of a triangle are proportional to the sides respectively opposite. 4. Kind the radius of the circle inscribed in the triangle whose sides... | |
 | De Volson Wood - Mechanics, Analytic - 1876 - 500 pages
...problems to which it has been applied, the resul1* agree with those of experience and observation. Since the sines of the angles of a triangle are proportional to the sides opposite, we have F = P ein P,R sin f$B R sn (iS) POLYGON OF FOHCES. 45. If several ioncurrent... | |
 | Eugene Lamb Richards - Plane trigonometry - 1878 - 134 pages
...to the side opposite the second angle. This principle is sometimes stated in another form, thus : " The sines of the angles of a triangle are proportional to the opposite sides." In the given triangle, ABC, it is required to prove Sin. B AC Sin. C^~ AB Suppose... | |
 | Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...to the side opposite the second angle. This principle is sometimes stated in another form, thus : " The sines of the angles of a triangle are proportional to the opposite sides." In the given triangle, ABC, it is required to prove Sin. BAC Sin. C ~ AB Suppose that... | |
 | John Charles Snowball - Trigonometry - 1880 - 256 pages
...and the length of the sides respectively opposite to the angles A, B, 0, by the letters a, b, c. 70. The Sines of the Angles of a Triangle are proportional to the Sides respectively opposite to them. Let ABC be the triangle. From G draw CD perpendicular to AB, or... | |
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