Elements of Plane and Spherical Trigonometry |
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... adjacent , and like functions ( Arts . 18 , 20 , 25 ) , which it is thought will serve to crystallize the student's ideas of the functions and their relations . A few of the answers to examples and problems are with- held from each ...
... adjacent , and like functions ( Arts . 18 , 20 , 25 ) , which it is thought will serve to crystallize the student's ideas of the functions and their relations . A few of the answers to examples and problems are with- held from each ...
Page 4
... adjacent to u , OB , by x , and the perpendicular ( perp . ) or leg opposite to u , BP , by y , the names , values ... adjacent leg to the hypotenuse , tan u the ratio of the opposite leg to the adjacent leg , etc. etc. etc. 10. It is ...
... adjacent to u , OB , by x , and the perpendicular ( perp . ) or leg opposite to u , BP , by y , the names , values ... adjacent leg to the hypotenuse , tan u the ratio of the opposite leg to the adjacent leg , etc. etc. etc. 10. It is ...
Page 9
... opposite function . 1 1 sin = ( a ) cot = ( d ) CSC tan 1 1 CSC = ( b ) COS = • ( e ) sin sec 1 1 tan = ( c ) sec = ( ƒ ) 20. Adjacent Functions are any two functions having the same cot COS ACUTE ANGLES 9 FUNDAMENTAL FORMULAS PAGE.
... opposite function . 1 1 sin = ( a ) cot = ( d ) CSC tan 1 1 CSC = ( b ) COS = • ( e ) sin sec 1 1 tan = ( c ) sec = ( ƒ ) 20. Adjacent Functions are any two functions having the same cot COS ACUTE ANGLES 9 FUNDAMENTAL FORMULAS PAGE.
Page 10
... adjacent functions : y x x r r y y х etc. ÿ ÿ or sin , cos , cot , csc , sec , tan , sin , cos , etc. ( a ) Let it be noticed ( 1 ) that each function has two adjacent functions , the one before and the other after it , the three being ...
... adjacent functions : y x x r r y y х etc. ÿ ÿ or sin , cos , cot , csc , sec , tan , sin , cos , etc. ( a ) Let it be noticed ( 1 ) that each function has two adjacent functions , the one before and the other after it , the three being ...
Page 11
... adjacent func- tions ( Art . 20 ) are those which stand adjacent to each other , whether taken along an arc or chord . Hence we have I. Any part is equal to the product of its adjacent parts . As tan u = sec u sin u , y = x tan u , x ...
... adjacent func- tions ( Art . 20 ) are those which stand adjacent to each other , whether taken along an arc or chord . Hence we have I. Any part is equal to the product of its adjacent parts . As tan u = sec u sin u , y = x tan u , x ...
Common terms and phrases
9 cos 9 9 cot 9 sin 9 A₁ A₁OP acute angle adjacent angle are given base circle colog cologarithm cos² cot 10 tan COTANGENTS csc² Cyclically decimal denoted distance divided equal Exercise express Find the angle Find the area find the number Find the values formulas Hence hour-angle hype hypotenuse included angle isosceles triangle latitude law of cosines law of sines log cot mantissa natural functions negative number corresponding number whose logarithm OA₁ opposite angles perp perpendicular plane polar triangle positive radian radius relation right angle right triangle sec² signs sin 9 cos sin b sin sin² solution solved spherical triangle STATEMENT subtract tan² tanc tangent three angles three sides Trigonometry Whence ΙΟ
Popular passages
Page 58 - THE MACMILLAN COMPANY, 66 FIFTH AVENUE, NEW YORK. This book should be returned to the Library on or before the last date stamped below. A fine of five cents a day is incurred by retaining it beyond the specified time. Please return promptly.
Page 9 - Hence, to find the characteristic of the logarithm of a number less than 1, subtract the number of ciphers between the decimal point and first significant figure from 9, writing — 10 after the mantissa.
Page 8 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 8 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 74 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°.
Page 57 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 58 - It is the outcome of a long experience of school teaching, 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 if any acquaintance with the poor creatures who are just stumbling over the threshold of Algebra. . . . Buy or borrow the book for yourselves and judge, or write a better.
Page 7 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 76 - The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts.