Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 1
... - volutions through the original posi- tion OA before taking up its final position . H. K. E. T. 1 It will thus be seen that in Trigonometry angles are MEASUREMENT OF ANGLES Definition of Angle Chapter Definition of limit.
... - volutions through the original posi- tion OA before taking up its final position . H. K. E. T. 1 It will thus be seen that in Trigonometry angles are MEASUREMENT OF ANGLES Definition of Angle Chapter Definition of limit.
Página 50
... taking n sufficiently large we can make the perimeters of the two polygons differ from the circumferences of the corresponding circles by as small a quantity as we please ; so that ultimately C1 - C2 r1 where C1 and c2 are the ...
... taking n sufficiently large we can make the perimeters of the two polygons differ from the circumferences of the corresponding circles by as small a quantity as we please ; so that ultimately C1 - C2 r1 where C1 and c2 are the ...
Página 55
... Taking = find the radian measure of : " 7 23. 36 ° 32 ′ 24 ′′ . 25. 116 ° 2 ' 45'6 ” . 27. Taking 1 π = 24. 70 ° 33 ′ 36 ′′ . 26. 171 ° 41 ' 50'4 ′′ . 31831 , shew that a radian contains 206265 seconds approximately . 28. Shew that a ...
... Taking = find the radian measure of : " 7 23. 36 ° 32 ′ 24 ′′ . 25. 116 ° 2 ' 45'6 ” . 27. Taking 1 π = 24. 70 ° 33 ′ 36 ′′ . 26. 171 ° 41 ' 50'4 ′′ . 31831 , shew that a radian contains 206265 seconds approximately . 28. Shew that a ...
Página 60
... taking = and the earth's diameter as 7920 miles . " 7 12. Find the radius of a globe such that the distance measured along its surface between two places on the same meridian whose latitudes differ by 1 ° may be 1 foot , taking π = 11 ...
... taking = and the earth's diameter as 7920 miles . " 7 12. Find the radius of a globe such that the distance measured along its surface between two places on the same meridian whose latitudes differ by 1 ° may be 1 foot , taking π = 11 ...
Página 61
... Taking = find the sexa- , 7 gesimal measure of the angle . 10. If B = 30 ° , C = 90 ° , b = 6 , find a , c , and the perpendicular from C on the hypotenuse . 11. Shew that π ( 1 ) cot @ + cot ( - 8 = coseccosec ( 1 - 0 ) ; π ( 2 ) ...
... Taking = find the sexa- , 7 gesimal measure of the angle . 10. If B = 30 ° , C = 90 ° , b = 6 , find a , c , and the perpendicular from C on the hypotenuse . 11. Shew that π ( 1 ) cot @ + cot ( - 8 = coseccosec ( 1 - 0 ) ; π ( 2 ) ...
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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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