Elementary Trigonometry |
From inside the book
Results 1-5 of 13
Page 66
... difference between the supplement of the com- plement of an angle and the complement of its supplement . 97. To compare the Trigonometrical Ratios of an angle and its supplement . P W M Let the angle EQP = A. M D Produce EQ to W , and ...
... difference between the supplement of the com- plement of an angle and the complement of its supplement . 97. To compare the Trigonometrical Ratios of an angle and its supplement . P W M Let the angle EQP = A. M D Produce EQ to W , and ...
Page 81
... Difference of two angles . These functions are the most important in the subject , and the student will find that his subsequent progress will depend much on the way in which he has read this Chapter . 112. We shall first establish the ...
... Difference of two angles . These functions are the most important in the subject , and the student will find that his subsequent progress will depend much on the way in which he has read this Chapter . 112. We shall first establish the ...
Page 88
... difference . Ex . sin 100+ sin 60 = 2 sin 100+ 60 2 100 - 60 COS 2 = 2 sin 80. cos 20 . ( 2 ) sin P - sin Q = 2 cos P + Q 2 P - Q · sin that is , the difference of the sines of two angles is equal to twice the product of the cosine of ...
... difference . Ex . sin 100+ sin 60 = 2 sin 100+ 60 2 100 - 60 COS 2 = 2 sin 80. cos 20 . ( 2 ) sin P - sin Q = 2 cos P + Q 2 P - Q · sin that is , the difference of the sines of two angles is equal to twice the product of the cosine of ...
Page 89
... difference of the cosines of two angles is equal to twice the product of the sine of half the sum of the angles into the sine of half their difference . Ex . cos 3a - cos 7a = 2 sin 7a + 3a 2 sin • 7a - 3a 2 = 2 sin 5a . sin 2a . 118 ...
... difference of the cosines of two angles is equal to twice the product of the sine of half the sum of the angles into the sine of half their difference . Ex . cos 3a - cos 7a = 2 sin 7a + 3a 2 sin • 7a - 3a 2 = 2 sin 5a . sin 2a . 118 ...
Page 91
... difference of a sine and a cosine as the product of sines or cosines . For since cos 0 = sin == π ( −0 ) ( Art . 96 ) , - sin a + cos 0 = sin a + sin π ( 5-0 ) π α = 2 sin ( a + 0 ) . cos ( a − +0 ) . 1 П COS a- 1 Again sin 40 ° + cos ...
... difference of a sine and a cosine as the product of sines or cosines . For since cos 0 = sin == π ( −0 ) ( Art . 96 ) , - sin a + cos 0 = sin a + sin π ( 5-0 ) π α = 2 sin ( a + 0 ) . cos ( a − +0 ) . 1 П COS a- 1 Again sin 40 ° + cos ...
Other editions - View all
Common terms and phrases
angle AOP angle be expressed angle EQP angle whose circular Arithmetical Progression Cambridge centre circle circular measure circumference College List convert the measure cos² cos³ cosec cosine Crown 8vo Edition equal expressed in degrees feet find the angle find the number following angles formula given angle contain Given find Given log Greek Isocrates John Edwin Sandys John Henry Blunt Let the given logarithm magnitude minutes and seconds multiply the measure negative number of degrees number of grades Pall Mall QP revolves radius regular polygon right angles right-angled triangle School and College Sexagesimal shew sides sin² sin³ sine subtends an angle tan² tan³ tangent Thomas Kerchever Arnold Thucydides triangle ABC Trigonometrical Ratios Trinity College unit of angular unit of circular Waterloo Place π π
Popular passages
Page 178 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 195 - College and Rector of St. Botolph's, and the Rev. WJ Beamont, MA, late Fellow of Trinity College, Cambridge. With a Preface by the lord Bishop of Ely.
Page 202 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.
Page 202 - The Theatre of the Greeks : a Series of Papers relating to the History and Criticism of the Greek Drama.
Page 182 - MA Fellow of King's College, Cambridge ; and Assistant Master at Eton College. CICERONIS ORATIONES, Edited by CHARLES EDWARD GRAVES, MA Classical Lecturer and late Fellow of St.
Page 183 - A Collection of English Exercises, translated from the writings of Cicero, for Schoolboys to retranslate into Latin. By William Ellis, MA ; re-arranged and adapted to the Rules of the Public School Latin Primer, by John T. White, DD, joint Author of White and Riddle's Latin- English Dictionary.
Page 84 - Suppose that a*=n, then x is called the logarithm of n to the base a : thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written log.
Page 133 - A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55°...
Page 88 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 192 - Treatise of the Pope's Supremacy, and a Discourse concerning the Unity of the Church, by ISAAC BARROW. Demy Octavo, js. 6d. Pearson's Exposition of the Creed, edited by TEMPLE CHEVALLIER, BD, Professor of Mathematics in the University of Durham, and late Fellow and Tutor of St Catharine's College, Cambridge.