Elementary Trigonometry |
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Page 34
... student may at first regard them as having especial reference to fig . 1 . 58. The six Trigonometrical Ratios are arithmetical quan- tities , denoting the relations existing between the sides of a right- angled triangle , which we call ...
... student may at first regard them as having especial reference to fig . 1 . 58. The six Trigonometrical Ratios are arithmetical quan- tities , denoting the relations existing between the sides of a right- angled triangle , which we call ...
Page 35
... student will find no difficulty in writing down the ratios for the sine and the cosine of a given angle , whatever may be the position in which the triangle of reference for that angle may stand . Suppose PM to be perpendicular to QM ...
... student will find no difficulty in writing down the ratios for the sine and the cosine of a given angle , whatever may be the position in which the triangle of reference for that angle may stand . Suppose PM to be perpendicular to QM ...
Page 36
... student has acquired facility in fixing on the lines which form the ratios called the sine and the cosine , he will be able to determine the other four ratios without any trouble . EXAMPLES . - XIII . ( 1 ) Let ABC be a triangle . Draw ...
... student has acquired facility in fixing on the lines which form the ratios called the sine and the cosine , he will be able to determine the other four ratios without any trouble . EXAMPLES . - XIII . ( 1 ) Let ABC be a triangle . Draw ...
Page 42
... student for practice . 69. We now present the changes of the Trigonometrical Ratios in a convenient tabular form . Columns 1 , 3 , 5 , 7 , 9 give the values of the ratios for the particular values of the angle placed above the columns ...
... student for practice . 69. We now present the changes of the Trigonometrical Ratios in a convenient tabular form . Columns 1 , 3 , 5 , 7 , 9 give the values of the ratios for the particular values of the angle placed above the columns ...
Page 53
... student may become familiar with the formula which we havǝ just obtained . He must observe that these formulæ hold good for all magni- tudes of the angle which we have represented by the letter A , that is , not only but also ánd and ...
... student may become familiar with the formula which we havǝ just obtained . He must observe that these formulæ hold good for all magni- tudes of the angle which we have represented by the letter A , that is , not only but also ánd and ...
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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
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