Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 3
... respectively , to prove that - In sexagesimal measure , the given angle when expressed as the fraction of a right angle is 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 ...
... respectively , to prove that - In sexagesimal measure , the given angle when expressed as the fraction of a right angle is 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 ...
Página 4
... 50x = 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.
... 50x = 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
... respectively . Thus in the above figure we have a2 = b2 + c2 , so that if the lengths of two sides of a right - angled triangle are known , this equation will give the length of the third side . Example 1. ABC is a right - angled ...
... respectively . Thus in the above figure we have a2 = b2 + c2 , so that if the lengths of two sides of a right - angled triangle are known , this equation will give the length of the third side . Example 1. ABC is a right - angled ...
Página 11
... respectively ; write down the values of sin A , sec A , tan B , sec B. 2. The sides PQ , QR , RP of a right - angled triangle are 13 , 5 , 12 respectively : write down the values of cot P , cosec Q , cos Q , cos P. 3. ABC is a triangle ...
... respectively ; write down the values of sin A , sec A , tan B , sec B. 2. The sides PQ , QR , RP of a right - angled triangle are 13 , 5 , 12 respectively : write down the values of cot P , cosec Q , cos Q , cos P. 3. ABC is a triangle ...
Página 34
... respectively opposite to these angles by the letters a , b , c . It must be understood that a , b , c are numerical quantities expressing the number of units of length contained in the three sides . B a 43. We know from Geometry that it ...
... respectively opposite to these angles by the letters a , b , c . It must be understood that a , b , c are numerical quantities expressing the number of units of length contained in the three sides . B a 43. We know from Geometry that it ...
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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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