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Books Books 1 - 10 of 54 on We have, then, that the sine of an angle is equal to the cosine of its complement,....  
" We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely. "
A system of popular trigonometry - Page 53
by George Darley - 1835
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A syllabus of a course of lectures upon trigonometry, and the application of ...

Henry Pearson - Mathematics - 1833 - 120 pages
...: 9 Sin TT = 0 : is 6. --0 =cos0: 2 COS 0=1. TT COS - = 0. 2 COS TT = - 1. D TT COS u = sin 9. B Or the sine of an angle is equal to the cosine of its complement, and the cosine of an angle is equal to the sine of its complement. C 7. Sin (TT - 9) = sin 9, cos (TT...
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The elements of plane trigonometry, Volume 1

John Charles Snowball - 1837
...-/- = sin z ACN = sin (90 - z NC Also, sin z .ДЛС = - = cos z ACN = cos (90 - z or Ле sine of an angle is equal to the cosine of its complement. In the following pages we shall for the sake of convenience indicate an angle by a single letter, as...
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A treatise on plane and spherical trigonometry ...

Thomas Grainger Hall - Trigonometry - 1848 - 168 pages
...OP^V is the complement of A. f) -КГ And sin. OPN= = cos. A. PN cos. OPN = =- = sin. -a. and cos. or, the sine of an angle is equal to the cosine of its complement, and the cosine of an angle is equal to the sine of its complement. 17. To prove sin. ( A) = ...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1852
...reason PBC я equal to ACE, and also BC is equal to CE, both being radii ; therefore BP = CQ, ie the sine of an angle is equal to the cosine of its complement ; and CP = EQ, ie the cosine of an angle is equal to the sine of its complement. The following relations...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854
...is 150 23'. The following relations exist between the sines and cosines of co1nplemental angles : The sine of an angle is equal to the cosine of its complement. The cosine of an angle is equal to the sine of us complement. Let ACB be any angle, and ACE (fig. 3) its...
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The elements of plane trigonometry

James Hann - Plane trigonometry - 1854 - 119 pages
...A). Also dividing equation (1) by DP2, we have cot2 A + 1 = cosec2 .. cosec A = /(1 + cot' (1) The sine of an angle is equal to the cosine of its complement. 'r> = 9Ql>-A, Since and sin cos ADP = AP - = cos A, sin A ; DP AD that is, sin (90 -A)= cos A,...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...the points of section. MATHEMATICS. LATIN. (2.) What is the complement of an angle or arc? Prove the sine of an angle is equal to the cosine of its complement. If the sine of an angle is , what is the cosine, and what the tangent ? p . sin 45 sin 30...
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Plane trigonometry

Isaac Todhunter - 1860
...right angle. This restriction however will be no longer retained. We may now shew universally that the sine of an angle is equal to the cosine of its complement, and the cosine of an angle equal to tfte sine of its complement. These propositions may be proved by...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...dividing-both sides by 2 sin. 60, -sin. '30 = J, but cos. 30 = VI - sin.230 = VI - \ = ^ a And since the sine of an angle is -equal to the cosine of its compliment, , cos. 60 = J, and sin. 60 - , from which it is easily found that tan. 30 = ~,...
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