A Treatise on Higher TrigonometryMacmillan, 1884 - 208 sider |
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... DIFFERENCES 91 IX . ON ERRORS IN PRACTICAL WORK EXAMPLES OF THE APPLICATION OF TRIGONOMETRY TO 105 • X. GEOMETRICAL PROBLEMS XI . ON THE USE OF SUBSIDIARY ANGLES TO FACILITATE NUMERICAL CALCULATION GENERAL MISCELLANEOUS EXAMPLES LIST OF ...
... DIFFERENCES 91 IX . ON ERRORS IN PRACTICAL WORK EXAMPLES OF THE APPLICATION OF TRIGONOMETRY TO 105 • X. GEOMETRICAL PROBLEMS XI . ON THE USE OF SUBSIDIARY ANGLES TO FACILITATE NUMERICAL CALCULATION GENERAL MISCELLANEOUS EXAMPLES LIST OF ...
Side 42
... difference between a and sin a is less than a3 ; the difference between sin a and a - a3 is less than 110a3 . EXAMPLE . If a = ( of a radian ) , the difference between a and sina is less than 1.10 - 3 , i.e. less than a six - hundredth ...
... difference between a and sin a is less than a3 ; the difference between sin a and a - a3 is less than 110a3 . EXAMPLE . If a = ( of a radian ) , the difference between a and sina is less than 1.10 - 3 , i.e. less than a six - hundredth ...
Side 43
... difference between ( a - a3 + α ) and sin a is less than 5040 a7 . ( 2 ) Prove that when a is not large , the difference between ( 1 - a2 + a1 ) and cos a is less than 70 ao . 180 ( 3 ) Prove that sin 099833 . π ( 4 ) Prove that the ...
... difference between ( a - a3 + α ) and sin a is less than 5040 a7 . ( 2 ) Prove that when a is not large , the difference between ( 1 - a2 + a1 ) and cos a is less than 70 ao . 180 ( 3 ) Prove that sin 099833 . π ( 4 ) Prove that the ...
Side 62
... difference of two quantities . EXAMPLE 1. To sum the series sin a + sin ( a + d ) + sin ( a +28 ) + + sin { a + ( n - 1 ) § } . ... We have 2 sin a . sin d = cos ( a – d ) - cos ( a + 18 ) , 2 sin ( a + 8 ) . sin 18 = cos ( a + 18 ) ...
... difference of two quantities . EXAMPLE 1. To sum the series sin a + sin ( a + d ) + sin ( a +28 ) + + sin { a + ( n - 1 ) § } . ... We have 2 sin a . sin d = cos ( a – d ) - cos ( a + 18 ) , 2 sin ( a + 8 ) . sin 18 = cos ( a + 18 ) ...
Side 63
... difference , divided by the sine of half the difference . EXAMPLE 3. To prove that if n = 2π , then sin a + sin ( a + 4 ) + sin ( a +24 ) + sin { a + ( n - 1 ) ø } = 0 for all values of a . ... In the result of Example 1 , sin and ...
... difference , divided by the sine of half the difference . EXAMPLE 3. To prove that if n = 2π , then sin a + sin ( a + 4 ) + sin ( a +24 ) + sin { a + ( n - 1 ) ø } = 0 for all values of a . ... In the result of Example 1 , sin and ...
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TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
a+ẞ Algebra angular points arithmetical ascending powers calculated Cambridge centre circular measure circumscribing circle Classical Series coefficients cos² cos³ cosec cosh nx cosine Crown 8vo deduce different values distance Edited by Rev equal escribed circles Eton College EXAMPLES Expand expression Extra fcap fcap Fellow of St Find form A+iB formula GRAMMAR greater Hence inscribed inscribed circle integer Introductions and Notes J. P. MAHAFFY John's College King's College late Fellow less limit LIVY logarithms MACMILLAN'S CLASSICAL CATALOGUE Moivre's Theorem nine-points circle nth roots obtain Oxford P₁ perpendiculars positive integer Prove the following quadratic factors radii radius right angle roots School sec² Shew sides sin n sin² sin³ sine sinh Sum the series Tables tan-¹ tan² tangent triangle ABC Trigonometry Trinity College Vocabulary whole number
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