Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página ix
... cosine Sine - cosine , tangent - secant , cotangent - cosecant formulæ 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 formulæ 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 ...
Página 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 Formulæ 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 Formulæ Functions of 24 ...
Página 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.
Página xiv
... cosine of 9 ° 254 A To find tan when tan A is given 256 A A 3 Given a function of A to find the functions of Given cos A to find cos Chapter XXI . LIMITS AND APPROXIMATIONS . 258 259 π If 0 < 2 sin 0 , 0 , tan 0 are in ascending order ...
... cosine of 9 ° 254 A To find tan when tan A is given 256 A A 3 Given a function of A to find the functions of Given cos A to find cos Chapter XXI . LIMITS AND APPROXIMATIONS . 258 259 π If 0 < 2 sin 0 , 0 , tan 0 are in ascending order ...
Página xv
... cosines of a series of n angles in A. P. 289 When the common difference is 2kπ n " the sum is zero 290 • 293 Sum of the squares and cubes of the sines and cosines of a series of angles in A. P. Chapter XXIV . MISCELLANEOUS ...
... cosines of a series of n angles in A. P. 289 When the common difference is 2kπ n " the sum is zero 290 • 293 Sum of the squares and cubes of the sines and cosines of a series of angles in A. P. Chapter XXIV . MISCELLANEOUS ...
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1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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