Elementary Trigonometry |
From inside the book
Results 1-5 of 55
Page ix
... cosine Sine - cosine , tangent - secant , cotangent - cosecant formulę Easy Identities . Each ratio can be expressed in terms of any of the others Chapter IV . TRIGONOMETRICAL RATIOS OF CERTAIN ANGLES . Trigonometrical Ratios of 45 ...
... cosine Sine - cosine , tangent - secant , cotangent - cosecant formulę Easy Identities . Each ratio can be expressed in terms of any of the others Chapter IV . TRIGONOMETRICAL RATIOS OF CERTAIN ANGLES . Trigonometrical Ratios of 45 ...
Page xi
... cosine of A + B and A - B sin ( A + B ) sin ( A – B ) = sin2 A – sin2 B. - Expansions of tan ( A + B ) and cot ( A + B ) · Expansions of sin ( A + B + C ) and tan ( A + B + C ) Converse use of the Addition Formulę Functions of 24 ...
... cosine of A + B and A - B sin ( A + B ) sin ( A – B ) = sin2 A – sin2 B. - Expansions of tan ( A + B ) and cot ( A + B ) · Expansions of sin ( A + B + C ) and tan ( A + B + C ) Converse use of the Addition Formulę Functions of 24 ...
Page xiii
... a given cosine Formula for all angles which have a given tangent Formula for angles both equi - sinal and equi - cosinal 232 233 234 234 General solution of equations Inverse Circular Functions . Solution of CONTENTS . xiii.
... a given cosine Formula for all angles which have a given tangent Formula for angles both equi - sinal and equi - cosinal 232 233 234 234 General solution of equations Inverse Circular Functions . Solution of CONTENTS . xiii.
Page xiv
... cosine of 9 ° · To find tan when tan A is given 2 Given a function of A to find the functions of A Given cos A to find cos Chapter XXI . LIMITS AND APPROXIMATIONS . PAGE 236 238 244 • 246 247 248 250 254 254 256 258 259 π " 2 If @ < sin ...
... cosine of 9 ° · To find tan when tan A is given 2 Given a function of A to find the functions of A Given cos A to find cos Chapter XXI . LIMITS AND APPROXIMATIONS . PAGE 236 238 244 • 246 247 248 250 254 254 256 258 259 π " 2 If @ < sin ...
Page xv
... cosines of a series of n angles in A. P. 289 2κπ When the common difference is " the sum is zero 290 n Sum of the squares and cubes of the sines and cosines of a series of angles in A. P. Chapter XXIV . MISCELLANEOUS TRANSFORMATIONS AND ...
... cosines of a series of n angles in A. P. 289 2κπ When the common difference is " the sum is zero 290 n Sum of the squares and cubes of the sines and cosines of a series of angles in A. P. Chapter XXIV . MISCELLANEOUS TRANSFORMATIONS AND ...
Contents
57 | |
58 | |
61 | |
81 | |
93 | |
102 | |
106 | |
112 | |
119 | |
123 | |
130 | |
138 | |
148 | |
156 | |
210 | |
216 | |
231 | |
238 | |
266 | |
273 | |
274 | |
282 | |
288 | |
296 | |
303 | |
309 | |
319 | |
Other editions - View all
Common terms and phrases
1+cos 1+tan² a+cos A+sin A+tan acute angle angle of elevation angles of depression B+cos B+sin bisecting centre circle cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Find the angle find the area find the distance find the height Find the number Find the value flagstaff following identities formula fraction given log greatest angle Hence horizontal plane hypotenuse inscribed integer LAOB loga magnitude mantissa miles negative number of radians observer pedal triangle perpendicular Prove the following quadrant radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew Similarly sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigonometrical functions trigonometrical ratios
Popular passages
Page 131 - ... the logarithm of a fraction is equal to the logarithm of the numerator diminished by the logarithm of the denominator...
Page 179 - From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle BCA is observed to be 135° : find the height of the mountain in yards.
Page 350 - OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By HS HALL, MA, and FH STEVENS, MA, Masters of the Military and Engineering Side, Clifton College. Gl.
Page 132 - The integral part of a logarithm is called the characteristic, and the decimal part is called the mantissa.
Page 39 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius of the circle...
Page 132 - Let N be a number whose integral part contains n digits ; then JV= JQ<il>HftiMlon . .'. log^V=(?t— l) + a fraction. Hence the characteristic is и — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive.
Page 187 - From the top of a hill the angles of depression of two objects situated in the...
Page viii - ... equal parts, called degrees; a degree into 60 equal parts, called minutes; a minute into 60 equal parts, called seconds. Degrees, minutes, and seconds are indicated in connection with numbers by the respective symbols °, ', ". 25 degrees, 18 minutes, 34 seconds is written 25° 18
Page xi - Ratio is the relation which one quantity bears to another of the same kind, with reference to the number of times that the one is contained in the other.
Page 348 - We will not say that this is the best Elementary Algebra for school use that we have come across, but we can say that we do not remember to have seen a better. . . . It is the outcome of a long experience of schoolteaching, and so is a thoroughly practical book. All others that we have in our eye are the works of men who have had considerable experience with senior and junior students at the universities, but have had little...