 | William Scott - 1845 - 288 páginas
...follows : — In the formula, sin. ( A + в) = sin. A cos. в + cos A sin. в, let в = A : . • . Sin. (A + A) — sin. A cos. A + cos. A sin. A or, sin. 2 A = 2 sin. A cos. A A' Substituting -y for A, and therefore A' for 2 A, this formula becomes A' A'... | |
 | William Thomas Read - 1862 - 144 páginas
...SinO° =0. (6) Cos 0° = 1. Since sin (A + B) = sin A . cos B + cos A . sin B, for B write A. Then sin (A + A) = sin A . cos A + cos A . sin A, or (1) sin 2 A = 2 sin A . cos A. Cos (A + B) = cos A . cos B — sin A . sin B, for B write A. Then cos... | |
 | William Thomas Read - 1869 - 176 páginas
...- 1 - 2 sin 2A. By (1) in last class, sin (A + B) = sin A cos B + cos A sin B For B write A, then, sin (A + A) = sin A cos A + cos A sin A or sin 2 A = 2 sin A cos A and sin A = 2 sin \ A . cos \ A By (2), cos (A + B) = cos A cos B — sin A sin... | |
 | John Maximilian Dyer - 1891 - 306 páginas
...double angle in terms of those of the single angle. In the expansion of sin (A + B), putting В = A, we obtain sin (A + A) = sin A cos A + cos A sin A, or, sin 2 A 2 sin A cos A ....... (1) In the expansion of cos (A + B)> putting В = A, we obtain cos (A + A)... | |
 | Charles Sumner Slichter - 1914 - 520 páginas
...sine, cosine and tangent reduce to formulas of great importance for the special case /3 = a. Thus: sin (a + a) = sin a cos a + cos a sin a or: sin 2a = 2 sin a cos a (1) Also: cos (a + a) = cos a cos a — sin a sin a which can be written in the three forms :... | |
 | Charles Sumner Slichter - 1918 - 522 páginas
...sine, cosine, and tangent reduce to formulas of great importance for the special case /3 = a. Thus sin (a + a) = sin a cos a + cos a sin a, or sin 2 a = 3 sin a cos a. (1) Also cos (a + a) = cos a cos a — sin a sin a which can be written in the... | |
 | Charles Sumner Slichter - 1918 - 530 páginas
...sine, cosine, and tangent reduce to formulas of great importance for the special case ß = a. Thus sin (a + a) = sin a cos a + cos a sin a, or sin2a = 2 sin a cos a. (1) Also cos (a + a) = cos a cos a — sin a sin a which can be written in the... | |
 | William Neville Rose - 1920 - 542 páginas
...expressions may be found for the ratios of 2A. Thus — sin (A+B) = sin A cos B + cos A sin B sin (A+A) = sin A cos A + cos A sin A or sin 2A = 2 sin A cos A. Also — cos (A+B) = cos A cos B — sin A sin B cos (A+A) = cos A cos A — sin A sin A or... | |
 | Leonard Berger Benny - 1927 - 512 páginas
...so that A + B = 2 A , we obtain expressions for sin 2 A , cos 2 A and tan 2 A. From (II), sin 2A = sin (A + A ) = sin A cos A + cos A sin A or, sin.2A =2sinA cos A .................. ,...(VI) From (I), cos '2A = cos (A +A) =cos^4 .cos A -sin A... | |
 | William Neville Rose - 1928 - 552 páginas
...expressions may be found for the ratios of 2A. Thus — sin (A+B) = sin A cosB + cos A sin B sin (A+ A) = sin A cos A + cos A sin A or sin 2A = 2 sin A cos A. Also — cos (A+B) = cos A cos B — sin A sin B cos (A+A) = cos A cos A — sin A sin A or... | |
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Thus: sin (a + a) = sin a cos a + cos a sin a or: sin 2a = 2 sin a cos a... 
