 | Edward Olney - 1885 - 222 pàgines
...90° and < 180°FUNCT1ONS OF THE SUM OH D1FFEHENCE OF ANGLES— sign is accounted for in the general formula, sin (x + y) = sin x cos y + cos x sin y, by noticing that cos y is —, when y > 90° and < 180°3 Same as in the preceding, when x > 90°,... | |
 | Edward Olney - 1872 - 216 pàgines
...<£A №• FUNCTION8 OF THE 8UM OB DIFFEBENCE OF ANGLE8. — sign is accounted for in the general formula, sin (x + y) = sin x cos y + cos x sin y, by noticing that cosy is —, when y > 90° and < 180°. JO 3. Same as in the preceding, when both... | |
 | Webster Wells - 1887 - 158 pàgines
...this notation with the exponent — 1; the —1 power of sin x is expressed (sinar)~1, and not sin-1!. 77. By aid of the principles of Art. 76, any relation...Take for example the formula sin (x + y) = sin x cos у + cos x sin y. (A) Let sin x = a, and sin y = b. Then by Art. 76, x = sin-1 a, and у = sin-1 b.... | |
 | New York (State). Department of Civil Service - 1898 - 1166 pàgines
...A. To draw through A a secant BAG such that AB shall be to AC in a given ration m : n. 8. Prove that Sin (x + y) = Sin X Cos y + Cos X Sin y : (a) When X and Y are acute, and X + Y is acute ; (b) When X and Y are acute, but X + Y is obtuse. 9. Given... | |
 | New York (State). Civil Service Commission - 1898 - 1204 pàgines
...A. To draw through A a secant BAG such that AB shall be to AC in a given ration m : n. 8. Prove that Sin (x + y) = Sin X Cos y + Cos X Sin y : (a) When X and Y are acute, and X + Y is acute; (b) When X and Y are acute, but X + Y is obtuse. 9. Given... | |
 | Thomas Ulvan Taylor, Charles Puryear - 1902 - 248 pàgines
...AC BD + EC BD EC in(* + 3/) = - = — = — oc—=oc + : OC ' BD BD OD EC EC CD and __ == _ x _ .'. sin (x + y) = sin x cos y + cos x sin y. (a) Also, cos (x + y) = But, from the figure, I = m + a. .'. — m = a — I. — ma — I a I OB ED .'.... | |
 | Fletcher Durell - 1910 - 348 pàgines
...will satisfy the equation tan (ж + 45°) + cot (ж - 45°) = 0. 69. Functions of the Double Angle. In the formula sin (x + y) = sin x cos y + cos x sin y, let y have the value x ; then, sin (x + x) = sin x cos x + cos re sin x ОГ, sin 2 X = 2 sin 05 COS... | |
 | Fletcher Durell - 1911 - 336 pàgines
...will satisfy the equation tan (x + 45°) + cot (x - 45°) = 0. 69. Functions of the Double Angle- In the formula sin (x + y) = sin x cos y + cos x sin y, let y have the value x ; then, sin (x + x) = sin # cos x + cos x sin # or, sin 2 00 = 2 sin a? cos... | |
 | Ronald E. Mickens - 1981 - 234 pàgines
...Functions eix - e-ix sin x = Y- (A.1) elx + p-ix cos x = 2 i = V=l (A.2) A. 1.2 Functions of Sums of Angles sin (x ± y) = sin x cos y ± cos x sin y (A. 3) cos (x ± y) = cos x cos y +• sin x sin y (A.4) A. 1. 3 Powers of Trigonometric Functions sin2... | |
 | Max Fogiel, Research and Education Association - 1984 - 1112 pàgines
...is ^ is a 30° angle hence, sin (sin"1 1 + sin"1 Jj) = sin (90° + 30°) Using the sum of the sines formula sin (x + y) = sin x cos y + cos x sin y: = sin 90° cos 30° + cos 90° sin 30° Now we must find the values of sin 90° , cos 30° , cos 90°,... | |
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In the formula sin (x + y) = sin x cos y + cos x sin y... 
