The Shrewsbury trigonometry |
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Page 17
... cosine of A , and repre- sents the rate of progress A along the horizontal line compared with the progress up the hill . If for every 40 up the hill AP , 13 is gone along the horizon AM , the cosine of PAM or 13 cos A is said to be 40 ...
... cosine of A , and repre- sents the rate of progress A along the horizontal line compared with the progress up the hill . If for every 40 up the hill AP , 13 is gone along the horizon AM , the cosine of PAM or 13 cos A is said to be 40 ...
Page 18
... perpendicular PM and the base AM are of the radius . The first of these is called the sine of A. sin A -- PM AP and increases as the angle increases . 22 23 The other is called the cosine of A. 18 THE TRIGONOMETRICAL RATIOS .
... perpendicular PM and the base AM are of the radius . The first of these is called the sine of A. sin A -- PM AP and increases as the angle increases . 22 23 The other is called the cosine of A. 18 THE TRIGONOMETRICAL RATIOS .
Page 19
... cosine , the co- tangent , the cosecant , and the coversed sine of A. Now these are all connected with sine and cosine of A in a way that should thus be remembered : tan A and cot A are ratios , sec A and cosec A are recipro- cals of ...
... cosine , the co- tangent , the cosecant , and the coversed sine of A. Now these are all connected with sine and cosine of A in a way that should thus be remembered : tan A and cot A are ratios , sec A and cosec A are recipro- cals of ...
Page 23
... cosine = 1 ;; √3 ; 2 √ 1⁄2 ; v ' ; a2_b2 . ( 2 ) Find sin A and cos A , and thence find all the ratios of the different angles A , where 1 1. sec A = 2 ; cot A = 3 cosec A = √2 . 2. tan A = 0 ; sec A = 200 ; tan A = 4 3 ( 3 ) Find ...
... cosine = 1 ;; √3 ; 2 √ 1⁄2 ; v ' ; a2_b2 . ( 2 ) Find sin A and cos A , and thence find all the ratios of the different angles A , where 1 1. sec A = 2 ; cot A = 3 cosec A = √2 . 2. tan A = 0 ; sec A = 200 ; tan A = 4 3 ( 3 ) Find ...
Page 33
... cosine , since they may be represented in so simple a form ; and since the other ratios follow at once , as ratios and reciprocals of these . Three sets of formulæ have been found , for de- ducing sides of triangles from certain known ...
... cosine , since they may be represented in so simple a form ; and since the other ratios follow at once , as ratios and reciprocals of these . Three sets of formulæ have been found , for de- ducing sides of triangles from certain known ...
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Common terms and phrases
Algebra angle increases angle PAM angle subtended AP AP AP revolve arc PX Arithmetic Astronomy Bishop of Carlisle C. S. CALVERLEY Caius College circle circular measure circumference Conic Sections containing cos² cosec cotangent Crown 8vo decreases denoted Draw a perpendicular Elementary Treatise English Notes Examples F. A. PALEY Fcap Fellow of St Fellow of Trinity find the radius fixed line AX formulæ four right angles Fourth Edition fraction Geometry given GOODWIN Greek J. R. SEELEY J. W. DONALDSON late Fellow Latin line AP log₁0 logarithms Mathematical Master negative number of degrees P. T. MAIN Pembroke College perpendicular PM PM AP Post 8vo Prove R. C. JEBB radii recensuit right-angled triangle Schools sec² shews sides sin² Small 8vo St John's College Students Subtract tan² Text Trigonometry Trinity College University of Cambridge values W. H. BESANT
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