Trigonometry ...1866 |
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Σελίδα 5
... angle which the arc of the circle subtends at the centre . The circular measure of any angle is independent of the ... given angular unit only means to find how often that unit is con- 180 ° tained in the given angle , we see from ( 1 ) ...
... angle which the arc of the circle subtends at the centre . The circular measure of any angle is independent of the ... given angular unit only means to find how often that unit is con- 180 ° tained in the given angle , we see from ( 1 ) ...
Σελίδα 21
... GIVEN TRIGONOMETRICAL RATIOS . 22. To construct an angle with a given positive sine or cosine . AB Let AB : BC or be the given sine or cosine , BC BC being > AB . Draw the indefinite straight line BD perpen- dicular to AB , and inflect ...
... GIVEN TRIGONOMETRICAL RATIOS . 22. To construct an angle with a given positive sine or cosine . AB Let AB : BC or be the given sine or cosine , BC BC being > AB . Draw the indefinite straight line BD perpen- dicular to AB , and inflect ...
Σελίδα 21
... given = BO A is the required AB - BC ' D is the required angle ; and if the tangent be given angle . 24 . To find a general expression for all the angles which have a given sine . Let POM be the least positive angle which has the given ...
... given = BO A is the required AB - BC ' D is the required angle ; and if the tangent be given angle . 24 . To find a general expression for all the angles which have a given sine . Let POM be the least positive angle which has the given ...
Σελίδα 22
... angles which have the same cosecant or coversed sine as a . 25. To find a general expression for all the angles which have a given cosine . Y x- M -X Let POM be the least positive angle which has the given cosine , and let a be its ...
... angles which have the same cosecant or coversed sine as a . 25. To find a general expression for all the angles which have a given cosine . Y x- M -X Let POM be the least positive angle which has the given cosine , and let a be its ...
Σελίδα 23
... angles which have a given tangent . Let POM be the least positive angle which has the given tan- gent , and let a be its circular measure . Produce PO to P ' , so that the circular measure of the angle P'OM , subtended at O by the ...
... angles which have a given tangent . Let POM be the least positive angle which has the given tan- gent , and let a be its circular measure . Produce PO to P ' , so that the circular measure of the angle P'OM , subtended at O by the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
angle POX increases angles terminated Cambridge centre circular measure coincides Conic Sections cos(a cos² cos4 cosB cosB+ cosec cosine cotA cotangent D.D. Dean D.D. Third Edition Dean of Ely decreases numerically Euclid EXAMPLES ON CHAPTER F. A. PALEY Fcap Fellow of St Fellow of Trinity Geometrical given angle given ratio Greek Hence J. R. SEELEY J. W. DONALDSON JONATHAN PALMER Late Fellow less than 90 log(s loga logarithms M.A. Fellow Mathematics negative and decreases P'OM Pembroke College perpendicular positive angle prove r₁ radius recensuit right-angled triangles POM secA secant Second Edition sides sin²A sin³A sinA sinB sine sine and cosine solution solve the triangle St John's College Students subtended subtract tanA tangent triangle ABC TRIGONO Trigonometrical Ratios Trinity College University of Cambridge values W. H. BESANT ОР
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