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" OP — sin A cos B + cos A sin B. OM_OQ-QM_OQ NR '" OP~ OP ~ OP OP _ OQ_ ON_NR NP "ON'OP~WP'"OP =^cos A cos .B- sin .4 sin B. 77. To express the sine and cosine of the 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 17
by John Hymers - 1841 - 151 pages
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A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ...

Henry Pearson - Algebra - 1833 - 164 pages
...algebraical sign changed. B 8. PROPOSITION. To find expressions for the sines and cosines of the sum and difference of two angles, in terms of the sines and cosines of the component angles. Let the component angles be denoted by 9 and ff : then we shall find sin (9 + ff)...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...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 С Q = A + B. With centre С and...
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Elements of Plane and Spherical Trigonometry: With the First Principles of ...

James Bates Thomson - Plane trigonometry - 1844 - 148 pages
...most important problems in trigonometry, is that in which it is required to find the sine of the sum of two angles, in terms of the sines and cosines of the angles themselves. To investigate this, let B AC and DAC (Jig. 9), which, for brevity, may be_^ called 6 and...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854 - 146 pages
...IV. TRIGONOMETRICAL FORMULAE. LET it be proposed to find the values of the sine and cosine of the sum of two angles, in terms of the sines and cosines of the angles themselves. Let the angles be AOB and BOG (fig. 10); let their numerical values be A and B respectively...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 546 pages
...MULTIPLES AND SUBMULTIPLES. - THE TRIGONOMETRICAL CANON. 36. To express the sine and cosine of the Sum of two angles, in terms of the sines and cosines of the angles themselves. Let A and В denote the angles POQ, QOR terminated in the same point O, so that ¿. POR...
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Middle-class education. 2

Middle-class education - 1857 - 70 pages
...D is a right angle. 23. Define the terms sine and cosine of an angle. Express the cosine of the sum of two angles in terms of the sines and cosines of the angles themselves. 24. Prove the equation — Tan. (45° + A) - Tan. (45° - A) = 2 Tan. 2 A. 25. Express...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 292 pages
...ratios by two others of which it is compounded, _ AQ • AP PQ 'AP = cos A cos В — sin A sin B. 36. To express the sine and cosine of the difference...the sines and cosines of the angles. Let the angles БАС, CAD (fig. 16) Ъе denoted by A and Д so that BAD-AB. In AD take any point P, draw РД PQ...
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...COD is a right angle. 23. Define the terms sine and cosine of an angle. Express the cosine of the sum of two angles in terms of the sines and cosines of the angles themselves. 24. Prove the equation — Tan. (45° + A) - Tan. (45° - A) = 2 Tan. 2 A. 25. Express...
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Plane Trigonometry ...

Isaac Todhunter - 1860 - 318 pages
...B. OM_OQ-QM_OQ NR '" OP~ OP ~ OP OP _ OQ_ ON_NR NP "ON'OP~WP'"OP =^cos A cos .B- sin .4 sin B. 77. To express the sine and cosine of the difference of...angles in terms of the sines and cosines of the angles themselves. Let the angle COD be denoted by A, and the angle DOE by B; then the angle COE will be denoted...
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The Mathematical Monthly, Volume 3

Mathematics - 1860 - 294 pages
...School, Millersville, Pa. II. Note on finding the expressions for the sines and cosines of the sum and difference of two angles in terms of the sines and cosines of the angles themselves, by using the equations for passing from a system of rectangular co-ordinates to another...
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