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" В; by means of which we can express the sine and cosine of the sum or difference of two angles in terms of the sines and cosines of the angles themselves. "
A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ... - Page 25
by John Hymers - 1841 - 151 pages
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A Popular Exposition of the System of the Universe: With Plates ..., Volume 1

Ferdinand Rudolph Hassler - Astronomy - 1826 - 640 pages
...manner those formulae of the series F, which express the tangents, cotangents, secants and cosecants of the sum or difference of two angles, in terms of the tangent and cotangent of the simple angles, we might obtain a series of symetric formulae in terms...
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Elements of Analytic Trigonometry, Plane and Spherical

Ferdinand Rudolph Hassler - Mathematics - 1826 - 212 pages
...manner those formulae of the series F, which express the tangents, cotangents, secants and cosecants of the sum or difference of two angles, in terms of the tangent and cotangent of the simple angles, we might obtain a series of symetric formulae in terms...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...shall now proceed to investigate are among the most important of Trigonometry. (34.) To find the sine of the sum or difference of two angles in terms of the sines and cosines of the angles themselves : — Let the angle ACP = A, P С Q — В ; then will А...
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First Books on Plane Trigonometry ...

George Wirgman Hemming - 1851 - 176 pages
...sines or cosines in terms of the sums or differences of sines and cosines and the converse ..... 32 26. To express the tangent of the sum or difference of two angles in terms of those of the angles themselves ........ 34 27. To express sin 34 and cos SA in terms of sin A and cos...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - Mathematics - 1853 - 474 pages
...B (15), cos (» fl)B = 2cos« B cosB - cos(n - 1) B (16). Next, to find the tangents of the sum and difference of two angles in terms of the tangents of the angles, we have by (1) and (3) of this Art., and (2) of Art. 15, , D\ em (^ "^ B) s'n -^ COB B 4 sin B cos...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 546 pages
...used in the establishment of important general formulae. 58. To express the tangents of the Sum and Difference of two angles, in terms of the tangents of the angles themselves. Here, from equal division of the numerator and denominator by cos A cos B, we shall have...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 324 pages
...forms 3m or 3m =*= 1 ; / a\ a .: ^ = cos^2mTr±-J=cos—, 2тг .- — - =fc — I = coS 3 ' FORMULA RELATIVE TO TANGENTS. 45. To express the tangent of...the sine, cosine, and tangent of an angle, we have вm(A+B) tan (A + .D ) = - 7— ¡ - ™ , v cos (A + B) ' or, replacing sin (A + B), cos (Л + B),...
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Popular and Mathematical Astronomy, with the principal formulæ of Plane and ...

William Thomas READ - 1862 - 144 pages
...60°) or cos 60° = sin 30° = £ and sec 60° = — - — cos 60° To find the tangent of the sum and difference of two angles, in terms of the tangents of the angles, ie, To prove tan (A + B) = tan A + tan Bg ' 1 — tan A. tan B andtan(A—B)= tan A— tan B ; 1+tanA....
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...Ratios of two angles. 170. The object of the present Chapter is to express the Trigonometrical .Ratios of the sum or difference of two angles in terms of the Trigonometrical Ratios of the angles themselves. 171. To express the sine of the sum of two angles...
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A Syllabus of Trigonometry

Arthur Stokes - Trigonometry - 1868 - 170 pages
...(sin 30 + sin 0), cos 20. cos 0 = i (cos 3Ö + cos 0], sino . sin20 = ¿(coso -cos30). 75. To find the tangent of the sum or difference of two angles in terms of the tangents of the separate angles, ie to find tan(^4 ± В) in terms of tan A and tan.B. sin(A +.B) tan (Л + В) ••...
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