 | Edward Olney - Geometry - 1872 - 472 pages
...SUM OR DIFFERENCE OF ANGLES (OR ARCS). 48. Prop.— The sine of the sum of two angles (or arcs) is equal to the sine of the first into the cosine of the second, plus the cosine of t he first into the sine of the second. Thus letting x and y represent any two angles... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...SUM OR DIFFERENCE OF ANGLES (OR ARCS). 48. Prop. — TJie sine of the sum of two angles (or arcs) is equal to the sine of the first into the cosine of the second, plus the oosine of the first into the sine of the second. Thus letting x and y represent i«>y two... | |
 | Aaron Schuyler - Navigation - 1873 - 536 pages
...(c) sin (a — b) = sin a cos b — cos a sin b. Hence, The sine of the difference of two angles is equal to the sine of the first into the co-sine of...co-sine of the first into the sine of the second. From the diagram we find the following relations: (1) CM=CP+NB. (2) CM = cos OCB = cos (a — b). (3)... | |
 | Aaron Schuyler - Measurement - 1873 - 508 pages
...(a), we have (a) sin (a -f 6) = sin a cos b + cos a sin b. Hence, The sine of the sum of two angles is equal to the sine of the first into the co-sine of the second, plus the cosine of the first into the sine of the second. From the diagram we find the following relations:... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...sin a cos b — cos a sin b ; • ( 3.) that is, the sine of the difference of two arcs, is equal tc the sine of the first into the cosine of the second,...the cosine of the first into the sine of the second. If, in Formula ( 3 ), we substitute (90° — a), for a, we have, sin (90°— a— b) = sin (90°-a)... | |
 | Charles Davies - 1874 - 464 pages
...sin a cos b — cos a sin b ; • ( S3.) that is, the sine of the difference of two arcs, is equal tc the sine of the first into the cosine of the second,...the cosine of the first into the sine of the second. If, in Formula ( ID ), we substitute (90° — a), for a, we have, sin (90°— a— b) = sin (90°... | |
 | Edward Olney - Trigonometry - 1877 - 220 pages
...produce the other forms.] 49. Prop. — The sine of the difference between two angles (or arcs) is equal to the sine of the first into the cosine of the second, minus the cosine of the first into thé sine of the second. Thus, letting x and y represent the angles, sin (x — y) = sin x cosy —... | |
 | Edward Olney - Geometry - 1879 - 502 pages
...produce the other forms.] 49. Prop. — The sine of the difference between two angles (or arcs) is equal to the sine of the first into the cosine of...first into the sine of the second. Thus, letting x and y represent the angles, sin (x — y) = sin x cos y — cos x sin y. DKM. — In sin (a + y) = sin... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...— 6) = sin a cos b — cos a sin b ; • (B.) that is, the sine of the diJference of two arcs is equal to the sine of the first into the cosine of the second, minim the cosine of the first into the sine of the second. If, in formula (B), we substitute (90°... | |
 | De Volson Wood - 1887 - 272 pages
...the cosine of the first into the sine of the second. The sine of the DIFFERENCE of two angles equals the sine of the first into the cosine of the second...the cosine of the first into the sine of the second. 38. To find the cosine of the sum and difference of two angles. From the preceding figure and group... | |
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The sine of the difference of any two arcs or angles is equal to the sine of the first into the cosine of the second, minus the cosine of the first into the sine of the second. 
