 | War office - 1861 - 260 páginas
...bases. 5. If two parallel planes be cut by another plane their common sections with it are parallel. 6. Prove that the sides of any plane triangle are proportional to the sines of the opposite angles. Assuming the expression for the cosine of an angle in terms of the sides, find the sine of half the... | |
 | Edward Olney - 1872 - 472 páginas
...SIDES AND TRIGONOMETRICAL FUNCTIONS OF THE ANGLES OF OBLIQUE ANGLED PLANE TRIANGLES. 85. Prop* — The sides of any plane triangle are proportional to the sines of the angles opposite. DEM. — Let ABC be any plane triangle. Let fell from either angle, as C, a perpendicular... | |
 | Edward Olney - 1872 - 562 páginas
...SIDES AND TIUGONOMETRIOAL FUNCTIONS OF THE ANGLES OF OBLIQUE ANOLKD PLAKE TRIANGLES. 85. Prop. — TJte sides of any plane triangle are proportional to the sines of the angles opposite. DEM.— Let ABC be any plane triangle. Let fall from either angle, as C, a perpendicular... | |
 | Edward Olney - 1872 - 216 páginas
...8IDE8 AND TRIGONOMETRICAL FUNCTION8 OF THE ANGLES OF OBLIQUE ANGLED PLANE TRIANGLE8. 83. Prop. — Tl1e sides of any plane triangle are proportional to the sines of the angles opposite. DEM. — Let ABC be any plane triangle. Let fall from either angle, as C, a perpendicular... | |
 | Edward Olney - 1879 - 502 páginas
...SIDES AND TRIGONOMETRICAL FUNCTIONS OF THE ANGLES OF OBLIQUE ANGLED PLANE TRIANGLES. 85. Prop. — TJie sides of any plane triangle are proportional to the sines of the angles opposite. DEM. — Let ABC be any plane triangle. Let fall from either angle, as C, a perpendicular... | |
 | George Albert Wentworth - 1882 - 232 páginas
...B. Hence show that sin A sin B sin C 6. Given that sin-^.4 = f, find the value of tan.4. Ans. ty. 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if... | |
 | George Albert Wentworth - 1884 - 330 páginas
...Hence show that sin A sin B sin C 6. Given that sin ^.4 = •£, find the value of tan.4. Ans. "£. 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if... | |
 | George Albert Wentworth - 1887 - 206 páginas
...B. Hence show that sin A sin B sin C 6. Given that sinA A = f , find the value of tan A. Ans. ^. 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if... | |
 | George Albert Wentworth - 1887 - 346 páginas
...Hence show that sin A sin B sin G 6. Given that sin 4.4 = f , find the' value of tan A. Ana. V-- 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if... | |
 | Royal Military College, Sandhurst - 1890 - 144 páginas
...- = ± vi -J- sin A. (2) tan (60° + A)- tan (60° - A) = 8 C0t A cotM — 3 (3) sec-i 3 = 2cot~V2. 12. Prove that the sides of any plane triangle are...opposite angles. Prove also that in any plane triangle . B - C ,, . A a sin = (b - c) cos — . 2 2 13. Given a = 3, b = 275, c = 175, find B. log 2 = -30103... | |
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Ans. ty. 7. Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if A be the angle opposite to the side a, prove that sin A = ^... 
