Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página v
... Identities and Equations is necessary . We have therefore given special prominence to examples of this kind in the early pages ; with the same end in view we have postponed the sub- ject of Radian or Circular Measure to a later stage ...
... Identities and Equations is necessary . We have therefore given special prominence to examples of this kind in the early pages ; with the same end in view we have postponed the sub- ject of Radian or Circular Measure to a later stage ...
Página ix
... Identities . • • Each ratio can be expressed in terms of any of the others Chapter IV . TRIGONOMETRICAL RATIOS OF CERTAIN ANGLES . Trigonometrical Ratios of 45 ° , 60 ° , 30 ° 12 లు 5 6 7 9 10 12 13 14 16 21 Definition of ...
... Identities . • • Each ratio can be expressed in terms of any of the others Chapter IV . TRIGONOMETRICAL RATIOS OF CERTAIN ANGLES . Trigonometrical Ratios of 45 ° , 60 ° , 30 ° 12 లు 5 6 7 9 10 12 13 14 16 21 Definition of ...
Página xv
... IDENTITIES . Symmetrical Expressions . Σ and II notation Alternating Expressions . Allied formulæ in Algebra and Trigonometry Identities derived by substitution Chapter XXV . MISCELLANEOUS THEOREMS AND EXAMPLES . Inequalities . Maxima ...
... IDENTITIES . Symmetrical Expressions . Σ and II notation Alternating Expressions . Allied formulæ in Algebra and Trigonometry Identities derived by substitution Chapter XXV . MISCELLANEOUS THEOREMS AND EXAMPLES . Inequalities . Maxima ...
Página 16
... Identities . 30. We shall now exemplify the use of these fundamental formulæ in proving identities . An identity asserts that two expressions are always equal , and the proof of this equality is called " proving the identity . " Some ...
... Identities . 30. We shall now exemplify the use of these fundamental formulæ in proving identities . An identity asserts that two expressions are always equal , and the proof of this equality is called " proving the identity . " Some ...
Página 17
... identity at once suggests that we should use the secant - tangent formula of Art . 26 ; hence the first side sec2 0 ( sec2 0 -1 ) = = ( 1 + tan2 0 ) tan2 0 = tan20 + tan1 0 . EXAMPLES . III . a . Prove the following identities : 1. sin ...
... identity at once suggests that we should use the secant - tangent formula of Art . 26 ; hence the first side sec2 0 ( sec2 0 -1 ) = = ( 1 + tan2 0 ) tan2 0 = tan20 + tan1 0 . EXAMPLES . III . a . Prove the following identities : 1. sin ...
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Términos y frases comunes
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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