Elements of plane trigonometry |
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Page 19
... FUNCTIONS , OR TRIGONOMETRICAL RATIOS . Function 2-2 IV . ] 19 UNIT OF ANGULAR MAGNITUDE .
... FUNCTIONS , OR TRIGONOMETRICAL RATIOS . Function 2-2 IV . ] 19 UNIT OF ANGULAR MAGNITUDE .
Page 20
Hugh Blackburn. CHAPTER V. CIRCULAR FUNCTIONS , OR TRIGONOMETRICAL RATIOS . Function . When one magnitude or ratio is so connected with another that the former changes with the latter , but is determinable for any given value of the ...
Hugh Blackburn. CHAPTER V. CIRCULAR FUNCTIONS , OR TRIGONOMETRICAL RATIOS . Function . When one magnitude or ratio is so connected with another that the former changes with the latter , but is determinable for any given value of the ...
Page 21
... functions change with the variation of the angle . When AB is small , BD is small and + ; OD = the As ◊ increases from o to TM , BD and radius nearly and + . As increases from o to OD remain both + , but BD increases from o CIRCULAR ...
... functions change with the variation of the angle . When AB is small , BD is small and + ; OD = the As ◊ increases from o to TM , BD and radius nearly and + . As increases from o to OD remain both + , but BD increases from o CIRCULAR ...
Page 23
... functions of 0 , of which the period is 2π . Since the perpendicular from the centre of a circle on V. ] 23 CIRCULAR FUNCTIONS .
... functions of 0 , of which the period is 2π . Since the perpendicular from the centre of a circle on V. ] 23 CIRCULAR FUNCTIONS .
Page 25
... the angle . Whence cot 0 = tan ( 1-0 ) and tan cot = 2 ( -0 ) . The cotangent may hence be geometrically defined as follows . Let OC be drawn perpendicular to OA . Then сов COB is the complement of AOB , or COB V. ] 25 CIRCULAR FUNCTIONS .
... the angle . Whence cot 0 = tan ( 1-0 ) and tan cot = 2 ( -0 ) . The cotangent may hence be geometrically defined as follows . Let OC be drawn perpendicular to OA . Then сов COB is the complement of AOB , or COB V. ] 25 CIRCULAR FUNCTIONS .
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adapted Algebra appended arc subtending ARITHMETIC BEGINNERS BROOKE FOSS WESTCOTT calculated Cambridge centre chapter chord CHURCH circle inscribed circular functions circular measure circumference CLASS-BOOK classes cloth common logarithm Conic Sections cosec cotangent Crown 8vo curve direction Education EDWARD THRING ELEMENTARY TREATISE endeavoured English equal Equations Euclid Examination Papers excribed exercises explain Extra fcap formulæ Fourth Edition GEOMETRY given Grammar Greek Head Master Heir of Redclyffe Illustrations increases inscribed circle John's College late Fellow Latin Lecturer limit logarithm manual Maps method MIXED MATHEMATICS Notes number of points number of sides numerous Examples Owens College perimeter perpendicular polygon problems Professor projection of FD PROP propositions R₁ radii radius ratio rectangle contained render right angle Schools Second Edition selected semi-perimeter sine and cosine solution tab log tangent Third Edition tion Todhunter University University of Cambridge UNIVERSITY OF GLASGOW versin volume
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