A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical Tables and Logarithms: Together with a Selection of Problems and Their SolutionsLongman, Brown, Green, Longmans, and Roberts, 1858 - 232 páginas |
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Página 11
... Similarly , AP2 AN \ 2 PN = = 1 + PN or cosec2 A = 1 + coť2 A , which also results from the preceding by writing 90 ° — A for A. 19. In general , any one of the six Trigonometrical Ratios of an angle being given , the five fundamental ...
... Similarly , AP2 AN \ 2 PN = = 1 + PN or cosec2 A = 1 + coť2 A , which also results from the preceding by writing 90 ° — A for A. 19. In general , any one of the six Trigonometrical Ratios of an angle being given , the five fundamental ...
Página 12
... Similarly , if distances originating in BC , and taken along AD or only parallel to AD , be denoted by positive quantities when they are measured upwards , when measured downwards they will be denoted by negative quantities . As the ...
... Similarly , if distances originating in BC , and taken along AD or only parallel to AD , be denoted by positive quantities when they are measured upwards , when measured downwards they will be denoted by negative quantities . As the ...
Página 16
... Similarly , negative angles of all magnitudes may be formed by the describing line revolving from AB in a direction opposite to its former one ; and the various positions of AC relative to the primitive line will be equally well ...
... Similarly , negative angles of all magnitudes may be formed by the describing line revolving from AB in a direction opposite to its former one ; and the various positions of AC relative to the primitive line will be equally well ...
Página 17
... Similarly , as the angle BAC ( fig . 12 ) increases from 3π 2 9 the sine , tangent , and secant increase , and the other Trigonometrical Ratios diminish ; and as the values both of PN and AN are negative , the sine , cosine , cosecant ...
... Similarly , as the angle BAC ( fig . 12 ) increases from 3π 2 9 the sine , tangent , and secant increase , and the other Trigonometrical Ratios diminish ; and as the values both of PN and AN are negative , the sine , cosine , cosecant ...
Página 21
... Similarly , cos = cos ( 2nπ +0 ) = == { ( 2n + 1 ) cos { ( 2n + 1 ) π 0 } = cos ( 2nπ - 0 ) = cos { ( 2n + 1 ) π + 0 } ; - or , expressed by a single formula , cos 0 = ( − 1 ) " cos ( nπ ± 0 ) . = - - tan ( π — 0 ) - == And since tan 0 ...
... Similarly , cos = cos ( 2nπ +0 ) = == { ( 2n + 1 ) cos { ( 2n + 1 ) π 0 } = cos ( 2nπ - 0 ) = cos { ( 2n + 1 ) π + 0 } ; - or , expressed by a single formula , cos 0 = ( − 1 ) " cos ( nπ ± 0 ) . = - - tan ( π — 0 ) - == And since tan 0 ...
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Términos y frases comunes
angle BAC angular points arcs bisecting calculation circular measure circumscribed circle consequently containing cos a cos cos² cosec cosine cotangent crown 8vo decimal denoted determined diff difference digits distance equal equation expressed formula fraction given triangle Hence History hypothenuse inscribed integer intersection less than 90 log-cos log-sin log-tan loga logarithms magnitude multiple negative obtain opposite angles perpendicular plane Plates pole positive Post 8vo produced quadrant quantities radius right angles right-angled triangle secant Second Edition shew Similarly sin A cos sin a sin sin² sin³ sine sines and cosines solid angle sphere spherical triangle subtended suppose tables tan² tangent three sides triangle ABC TRIG Trigonometrical Ratios values vols Woodcuts zero
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