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" Formulas [39], [40], and [43] it follows that sin a — sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Here... "
Tables of six-figure logarithms. Stereotyped ed - Página 35
por Richard Farley - 1840 - 80 páginas
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853
...Next, let A and с be given, then to find the other parts, we have by (2), (3), and (8), of Art. 6, sin a = sin с sin A, tan b — tan с cos A, cot В = соя с tan A. Hence a only is given by its sine, and in this case there is only one solution ;...
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Plane and Spherical Trigonometry: By G. A. Wentworth ..

George Albert Wentworth - 1888 - 173 páginas
...Given the hypotenuse с and the oblique angle A. From Formulas [38], [39], and [42] it follows that sin a = sin с sin A, tan b = tan с cos A, cot B= cose i&nA. Here a is determined by sin a, since a and A must be alike in kind (see Exercise XX.,...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - 1892 - 172 páginas
...с and an angle A ; to find a, b, B. By (3), (5), and (8) of Art. 85, or by Napier's Rules, we have sin a = sin с sin A, tan b = tan с cos A, cot В = cos с tan A. Since a is found by its sine, it would be ambiguous, but the ambiguity is removed because a and A are...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 368 páginas
...and an angle A ; to find a, b, B. By (;5), (5), an(1 (8) of Art- 185, or ЬУ Napier's Rules, we have sin a = sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Since a is found by its sine, it would be ambiguous, but the ambiguity is removed...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - 1892 - 172 páginas
...с and an angle A ; to find a, b, B. By (3), (5), and (8) of Art. 85, or by Napier's Bnles, we have sin a = sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Since a is found by its sine, it would be ambiguous, but the ambiguity is removed...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - 1895 - 367 páginas
...CA8E V. Given the hypotenuse с and the angle A. From Formulas [39], [40], and [43] it follows that sin a = sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Here a is determined by sin a, since a and A must be alike in kind (see Exercise...
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Trigonometry, Surveying and Navigation

George Albert Wentworth - 1895 - 412 páginas
...CASE V. Given the hypotenuse с and the angle A. From Formulas [39], [40], and [43] it follows that sin a = sin с sin A, tan b = tan с cos A, cot П = cos с tan A. Here a is determined by sin a, since a and Л must be alike in kind (see Exercise...
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New Plane and Spherical Trigonometry

Webster Wells - 1896 - 126 páginas
...sin a , tan b ., , , , т, s1n A = — — , cos A = , and cos с = cot A cot B. s1n с tan с Or, sin a = sin с sin A, tan b = tan с cos A, and cot B = cos с tan A. Here the side a is determined from its sine ; but the ambiguity is removed...
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Plane and Spherical Trigonometry

George Albert Wentworth - 1897 - 214 páginas
...CASE V. Git-en the hypotenuse с and the angle A. From Formulas [39], [40], and [43] it follows that sin a — sin с sin A, tan b = tan с cos A, cot B = cos с tan A. Here a is determined by sin a, since a and Л must be alike in kind (see Exercise...
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Plane and Spherical Trigonometry

George Albert Wentworth - 1902 - 232 páginas
...CASE V Given the hypotenuse с and the angle A. From Formulas [39], [40], and [43], p. 144, we obtain sin a = sin с sin A, tan b = tan с cos A, cot В = cos с tan A. CASE VI Given the two angles A and В. From Formulas [43] and [41], p. 144, we obtain cos с = cot A cot...
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