A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 páginas |
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Página 59
... increases with the angle , while the cosine diminishes as the angle increases . Also that the squares of the sines of 0o , 30 ° , 45 ° , 60 ° and 90o are respectively 0 , 1 , 2 , 3 and 4 , and that the squares of the cosines of the same ...
... increases with the angle , while the cosine diminishes as the angle increases . Also that the squares of the sines of 0o , 30 ° , 45 ° , 60 ° and 90o are respectively 0 , 1 , 2 , 3 and 4 , and that the squares of the cosines of the same ...
Página 76
... increases from 0 ° to 90o . U M Take a line OR , of any length ; and describe the quadrant RPU of the circle whose ... increases from 0 ° to 90o , MP increases continuously from zero to OP ; also OP is always equal to OR . Therefore ...
... increases from 0 ° to 90o . U M Take a line OR , of any length ; and describe the quadrant RPU of the circle whose ... increases from 0 ° to 90o , MP increases continuously from zero to OP ; also OP is always equal to OR . Therefore ...
Página 77
... increases continuously from zero to OP . When the angle A is 0o , OM is equal to OP ; when A is 90 ° , OM is zero ; and as A continuously increases from 0 ° to 90 ° , OM continuously decreases from OP to zero . 0 ; MP Hence , when A is ...
... increases continuously from zero to OP . When the angle A is 0o , OM is equal to OP ; when A is 90 ° , OM is zero ; and as A continuously increases from 0 ° to 90 ° , OM continuously decreases from OP to zero . 0 ; MP Hence , when A is ...
Página 100
... increases from 0 ° to 360 ° . Take the figure and construction of page 96 . As A increases from 0 ° to 90 ° , MP increases from zero to OP , and is positive . Therefore sin A increases from 0 to 1 and is positive . As A increases from ...
... increases from 0 ° to 360 ° . Take the figure and construction of page 96 . As A increases from 0 ° to 90 ° , MP increases from zero to OP , and is positive . Therefore sin A increases from 0 to 1 and is positive . As A increases from ...
Página 184
... increases . Hence corre- sponding to an increase in the angle there is a diminution of the cosine . Hence , let 9.7858083 = L cos ( 52 ° 22 ′ – D ) .. ( iii ) . Subtracting the first tabular logarithm from the second the difference is ...
... increases . Hence corre- sponding to an increase in the angle there is a diminution of the cosine . Hence , let 9.7858083 = L cos ( 52 ° 22 ′ – D ) .. ( iii ) . Subtracting the first tabular logarithm from the second the difference is ...
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algebraical angle of elevation angle ROP ARITHMETIC Assistant-Master base BOOK Cambridge centre circle circular measure circumference Clifton College common logarithms cos² cos³ cosec cosine Crown 8vo decimal diameter Draw PM Edited by Rev ELEMENTARY TREATISE English equal equation Eton College Example Express Extra fcap feet Fellow of St Fellow of Trinity Find the angle Find the number formulæ fraction GEOMETRY Globe 8vo grades GRAMMAR Greek Hence HISTORY hypotenuse inscribed Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN length LL.D logarithms magnitude Mathematics miles negative numerous Illustrations observed Owens College Oxford perimeter perpendicular positive PRIMER Professor prove Quadrant radians radius regular polygon revolving line right angle School sides significant figures sin² sin³ sine student subtends tangent tower triangle ABC Trigonometrical Ratios Trinity College University yards
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