Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 2
... denoted by a symbol ; thus the angle which contains 53 degrees 37 minutes 2.53 seconds is expressed symbolically in the ... denote sexagesimal and centesimal minutes and seconds ; for though they have the same names , a centesimal minute ...
... denoted by a symbol ; thus the angle which contains 53 degrees 37 minutes 2.53 seconds is expressed symbolically in the ... denote sexagesimal and centesimal minutes and seconds ; for though they have the same names , a centesimal minute ...
Página 3
... denote angles in circular measure by letters taken from the Greek alphabet . 7. If the number of degrees and grades ... denoted by measure , the same fraction is denoted by that is , 9 D G 100 = 90 D G 100 = D In centesimal 90 * G 10 8 ...
... denote angles in circular measure by letters taken from the Greek alphabet . 7. If the number of degrees and grades ... denoted by measure , the same fraction is denoted by that is , 9 D G 100 = 90 D G 100 = D In centesimal 90 * G 10 8 ...
Página 4
... = 27y . 26. If s and t respectively denote the numbers of sexa- gesimal and centesimal seconds in any angle , prove that 2508 = 81t . CHAPTER II . TRIGONOMETRICAL RATIOS . 9. DEFINITION . Ratio 4 ELEMENTARY TRIGONOMETRY . [ CHAP . I.
... = 27y . 26. If s and t respectively denote the numbers of sexa- gesimal and centesimal seconds in any angle , prove that 2508 = 81t . CHAPTER II . TRIGONOMETRICAL RATIOS . 9. DEFINITION . Ratio 4 ELEMENTARY TRIGONOMETRY . [ CHAP . I.
Página 8
... denote the numbers of units of length in the sides opposite the angles A , B , C by the letters a , b , c respectively . Thus in the above figure we have a2 = b2 + c2 , so that if the lengths of two sides of a right - angled triangle ...
... denote the numbers of units of length in the sides opposite the angles A , B , C by the letters a , b , c respectively . Thus in the above figure we have a2 = b2 + c2 , so that if the lengths of two sides of a right - angled triangle ...
Página 9
... each of the other trigonometrical ratios . These ratios are therefore independent of the length of the revolving line and depend only on the magnitude of the angle . Х 20. If A denote any acute angle , we II . ] 9 TRIGONOMETRICAL RATIOS .
... each of the other trigonometrical ratios . These ratios are therefore independent of the length of the revolving line and depend only on the magnitude of the angle . Х 20. If A denote any acute angle , we II . ] 9 TRIGONOMETRICAL RATIOS .
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Términos y frases comunes
1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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