A Treatise on Higher TrigonometryMacmillan, 1884 - 208 sider |
Inni boken
Resultat 1-5 av 17
Side 18
... Solve the equation x - 1 = 0 . In other words , find all the values of TM / Ĩ , or , find the factors of xa – 1 . Since cos 2rr +/- 1 sin 2r = 1 . It follows that x = cos 2r + √√1 sin 2r , where r is an integer , and therefore x = cos ...
... Solve the equation x - 1 = 0 . In other words , find all the values of TM / Ĩ , or , find the factors of xa – 1 . Since cos 2rr +/- 1 sin 2r = 1 . It follows that x = cos 2r + √√1 sin 2r , where r is an integer , and therefore x = cos ...
Side 20
... Solve the equation x6—1 = 0 . ( 5 ) Give the general quadratic factor of 20 - a20 ( 6 ) Find all the values of T. EXAMPLE 2. To find the Quadratic factors of xn + 1 = 0 . Here π + 21π π + 2rπ x = cos + i sin n n n odd P. , n even P2 Ρ ...
... Solve the equation x6—1 = 0 . ( 5 ) Give the general quadratic factor of 20 - a20 ( 6 ) Find all the values of T. EXAMPLE 2. To find the Quadratic factors of xn + 1 = 0 . Here π + 21π π + 2rπ x = cos + i sin n n n odd P. , n even P2 Ρ ...
Side 35
... Solve the following equations : ( 1 ) x8 - 2x4 cos 60o + 1 = 0 . ( 3 ) x12 - 2x6 cos + 1 = 0 . ( 4 ) ( 2 ) x10 - 2x5 cos 10 ° + 1 = 0 . x10 + √3x5 + 1 = 0 . ( 5 ) Write down the factors of x22 – 2x2 y2 cos a + y3n . * MISCELLANEOUS ...
... Solve the following equations : ( 1 ) x8 - 2x4 cos 60o + 1 = 0 . ( 3 ) x12 - 2x6 cos + 1 = 0 . ( 4 ) ( 2 ) x10 - 2x5 cos 10 ° + 1 = 0 . x10 + √3x5 + 1 = 0 . ( 5 ) Write down the factors of x22 – 2x2 y2 cos a + y3n . * MISCELLANEOUS ...
Side 43
... 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 . ( 7 ) Given sin 0 --- 1813 , prove 0 = 4 ° 24 ' nearly . ( 8 ) Find the value ...
... 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 . ( 7 ) Given sin 0 --- 1813 , prove 0 = 4 ° 24 ' nearly . ( 8 ) Find the value ...
Side 56
... ex- pression cos ( a + 2mm ) . This result is useful in solving η problems on symmetrical functions of the series cos a , cos ( a + 2 = ) , COS cos ( a + 1 ) , etc. , EXAMPLE . Find the sum of the series sec2a + 56 TRIGONOMETRY .
... ex- pression cos ( a + 2mm ) . This result is useful in solving η problems on symmetrical functions of the series cos a , cos ( a + 2 = ) , COS cos ( a + 1 ) , etc. , EXAMPLE . Find the sum of the series sec2a + 56 TRIGONOMETRY .
Andre utgaver - Vis alle
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
Populære avsnitt
Side 7 - THE SEVEN KINGS OF. ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 150 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Side 19 - Whitney and Edgren. — A COMPENDIOUS GERMAN AND ENGLISH DICTIONARY, with Notation of Correspondences and Brief Etymologies. By Professor WD WHITNEY, assisted by AH EDGREN.
Side 4 - England. — EXERCISES ON LATIN SYNTAX AND IDIOM, ARRANGED WITH REFERENCE TO ROBY'S SCHOOL LATIN GRAMMAR. By EB ENGLAND, MA, Assistant Lecturer at the Owens College, Manchester. Crown 8vo.
Side 6 - Works by ALEXANDER W. POTTS, MA, LL.D., late Fellow of St. John's College, Cambridge; Head Master of the Fettes College, Edinburgh. HINTS TOWARDS LATIN PROSE COMPOSITION. New Edition. Extra fcap. 8vo.
Side 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools. By F. HODGSON, BD, late Provost of Eton. New Edition, revised by FC HODGSON, MA i8mo. 3*.
Side 4 - GREENWOOD— THE ELEMENTS OF GREEK GRAMMAR, including Accidence, Irregular Verbs, and Principles of Derivation and Composition ; adapted to the System of Crude Forms. By JG GREENWOOD, Principal of Owens College, Manchester. New Edition. Crown 8vo.
Side 4 - Blackie. — GREEK AND ENGLISH DIALOGUES FOR USE IN SCHOOLS AND COLLEGES. By JOHN STUART BLACK.IE, Emeritus Professor of Greek in the University of Edinburgh.
Side 19 - Part II.— SECOND YEAR. Conversational Lessons in Systematic Accidence and Elementary Syntax. With Philological Illustrations and Etymological Vocabulary.
Side 17 - Kiepert. — MANUAL OF ANCIENT GEOGRAPHY, Translated from the German of Dr. HEINRICH KIEPERT. Crown 8vo. 5*. Mahaffy. — Works by JP MAHAFFY, MA, Professor of Ancient History in Trinity College, Dublin, and Hon. Fellow of Queen's College, Oxford. SOCIAL LIFE IN GREECE; from Homer to Menander.