 | Isaac Todhunter - 1859 - 156 Seiten
...c, and sin A are all positive. 41. From the value of sin A in the preceding article it follows that sin A _ sin B _ sin C sin a sin 6 sin c ' for each of these is equal to the same expression, namely, ^(1 - cos 2 a — cos 2 6 - cos* c + 2... | |
 | William John McClelland, Thomas Preston - 1893 - 402 Seiten
...-. Similarly, by letting fall a perpendicular DF on OB we get hence sin B sin a = - = sin A sin b ; sin A _ sin B _ sin C sin a sin 6 sin c _ 33. Expressions for the sine, cosine, and tangent of half an angle of a triangle as functions of... | |
 | Robert Stawell Ball - 1900 - 584 Seiten
...the departure between the ranges from x to y and x to z be denoted by A , from y to z and y to x be denoted by B, and from z to x and z to y be denoted by G. Then, sin A sin B sin G sin a sin b sin c ' cos a = cos b cos c + sin b sin c cos A, cos b = cos... | |
 | James Gill - 1918 - 468 Seiten
...triangle. 1 Cos A = C08 a — cos 6 . cos c sin b . sin c Cos a = cos 6 . cos c + sin 6 . sin c . COB A „ Sin A _ sin B _ sin C sin a ~ sin 6 "" sin c 3. Sin ^A = A / — — V sin o . sin c Cosi\= /v/™li«1 V sin o . Tan JA = 4. Tan i(A + B) = sin... | |
 | Leonard Magruder Passano - 1918 - 198 Seiten
...of Case 1. If a check is desired in the solution the law of sines may be so used. Thus, since sin^l _ sin B _ sin C sin a sin 6 sin c ' it follows that log sin A — log sin a = log sin B — log sin 6 = log sin C — log sin c. It must... | |
 | Robert William Chapman - 1922 - 272 Seiten
...relations : — (a) The sines of the angles are proportional to the sines of the opposite sides : — sin A _ sin B _ sin C , , . sin a sin 6 sin c (b) One side of a triangle is expressed in terms of the two other sides, and the angle included between... | |
 | Robert Stawell Ball - 1998 - 596 Seiten
...the departure between the ranges from x to y and x to z be denoted by A, from y to z and y to x be denoted by B, and from z to x and z to y be denoted...sin B _ sin C sin a ~ sin 6 ~ sin c ' cos a = cos b cos c + sin b sin c cos A, cos b = cos c cos a + sin c sin a cos B, cos c = cos a cos b + sin a sin... | |
 | Robert Stawell Ball - 2006 - 588 Seiten
...the departure between the ranges from x to y and x to z be denoted by A, from ?/ to z and y to x be denoted by B, and from z to x and z to y be denoted by C. Then, sin A _ sin B sin C sin a sin 6 sin c ' cos a = cos b cos c + sin b sin c cos A, cos b = cos c cos a + sin c sin... | |
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A, from y to z and y to x be denoted by B, and from z to x and z to y be denoted by C. Then, sin A _ sin B _ sin C sin a ~ sin 6 ~ sin c ' cos a = cos b cos c + sin b sin c... 