A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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Σελίδα 18
... measure off arcs P , P2 , PP , etc. each equal to RP1 . Then since n . ROP1 = 2π , n of these arcs will occupy the whole circumference , and OP will coincide with OR . Also , if r be a n 2TT whole number , in describing the angle the ...
... measure off arcs P , P2 , PP , etc. each equal to RP1 . Then since n . ROP1 = 2π , n of these arcs will occupy the whole circumference , and OP will coincide with OR . Also , if r be a n 2TT whole number , in describing the angle the ...
Σελίδα 24
... measurement ; then ( cos n + i sin n ) is a value of ( cos 1 + i sin 1 ) ” . Let k stand for ( cos 1 + i sin 1 ) ... measure of the angle , the limit of is 1. [ E. 290. ] Also the limit of the right - hand side is log.k. Hence or , i ...
... measurement ; then ( cos n + i sin n ) is a value of ( cos 1 + i sin 1 ) ” . Let k stand for ( cos 1 + i sin 1 ) ... measure of the angle , the limit of is 1. [ E. 290. ] Also the limit of the right - hand side is log.k. Hence or , i ...
Σελίδα 25
... measure of the angle , cos + √ 1 sin 0 = e√ — 1o ̧ i0 = e -io 24. Since cos + i sin = e and cos i sin = e ; io -io = e + e ; and 2i sin 0 . ... 2 cos Ө il i0 il e + e e Hence and 2 - е 2i il = e -e -io • -io are exponential values of ...
... measure of the angle , cos + √ 1 sin 0 = e√ — 1o ̧ i0 = e -io 24. Since cos + i sin = e and cos i sin = e ; io -io = e + e ; and 2i sin 0 . ... 2 cos Ө il i0 il e + e e Hence and 2 - е 2i il = e -e -io • -io are exponential values of ...
Σελίδα 36
... measure- ment 2 cos x = k * + k- * where k180π ( 3 ) Assuming De Moivre's theorem , prove that i sin x- ( 1- cos xo ) XC iπ where k = cos 10+ i sin 10 - e180 = X = log k + ( log k ) 2 + etc . , 12 ( 4 ) Prove that if two right angles be ...
... measure- ment 2 cos x = k * + k- * where k180π ( 3 ) Assuming De Moivre's theorem , prove that i sin x- ( 1- cos xo ) XC iπ where k = cos 10+ i sin 10 - e180 = X = log k + ( log k ) 2 + etc . , 12 ( 4 ) Prove that if two right angles be ...
Σελίδα 43
... measure of 1o at least as far as five places of decimals . ( 5 ) Solve the equation sin ( +0 ) = 71 , neglecting 03 and higher powers of 0 . ( 6 ) Given that sin l ' = ' 0002909 , calculate approximately the value of π . 1813 , prove 0 ...
... measure of 1o at least as far as five places of decimals . ( 5 ) Solve the equation sin ( +0 ) = 71 , neglecting 03 and higher powers of 0 . ( 6 ) Given that sin l ' = ' 0002909 , calculate approximately the value of π . 1813 , prove 0 ...
Άλλες εκδόσεις - Προβολή όλων
TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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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