Trigonometry for Beginners with Numerous ExamplesMacmillan, 1868 - 200 sider |
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Isaac Todhunter. fourteen chapters present the geometrical part of Plane Trigonometry ; they contain all that is necessary for practi- cal purposes . The remaining chapters are of a more ana- lytical character , and are important in the ...
Isaac Todhunter. fourteen chapters present the geometrical part of Plane Trigonometry ; they contain all that is necessary for practi- cal purposes . The remaining chapters are of a more ana- lytical character , and are important in the ...
Side 1
... contains . Any angle might be taken for the unit , as for example a right angle ; but a smaller angle than a right ... contains . If the angle does not contain an exact number of degrees we can express it in degrees and a fraction of a ...
... contains . Any angle might be taken for the unit , as for example a right angle ; but a smaller angle than a right ... contains . If the angle does not contain an exact number of degrees we can express it in degrees and a fraction of a ...
Side 2
... contains 45 degrees ; a quarter of a right angle contains 223 degrees , which we may write in the decimal notation 22.5 degrees , or we may express it as 22 degrees 30 minutes ; one- sixteenth of a right angle contains 5ğ degrees , that ...
... contains 45 degrees ; a quarter of a right angle contains 223 degrees , which we may write in the decimal notation 22.5 degrees , or we may express it as 22 degrees 30 minutes ; one- sixteenth of a right angle contains 5ğ degrees , that ...
Side 6
... containing straight lines , and from it draw a perpendicular to the other straight line : let P be the point in AC , and PM perpendicular to AB . We shall use the letter A to denote the angle BAC . C P M B The following are the ...
... containing straight lines , and from it draw a perpendicular to the other straight line : let P be the point in AC , and PM perpendicular to AB . We shall use the letter A to denote the angle BAC . C P M B The following are the ...
Side 15
... contains 60 degrees ; draw PM perpendicular to AB , then AM = MB ; therefore AM = } AB = AP . AM 1 Thus cos 60 ° = = = AP 2 ; sin 600 = √ ( 1 - cos2 60 ) = tan 60 ° = = 2 sec 60o- = 2 ; sin 60 ° √3 1 cos 60o 2 1 cos 600 = √ ( 1 − 1 ) ...
... contains 60 degrees ; draw PM perpendicular to AB , then AM = MB ; therefore AM = } AB = AP . AM 1 Thus cos 60 ° = = = AP 2 ; sin 600 = √ ( 1 - cos2 60 ) = tan 60 ° = = 2 sec 60o- = 2 ; sin 60 ° √3 1 cos 60o 2 1 cos 600 = √ ( 1 − 1 ) ...
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Trigonometry for Beginners, with Numerous Examples Isaac Todhunter Ingen forhåndsvisning tilgjengelig - 2010 |
Vanlige uttrykk og setninger
A-sin A+B+C Algebra angle increases angle PAB angles in terms angles included AP coincides AP moves Arithmetical Arithmetical Progression B-cos Cambridge centre circle circular measure circumference cloth cos² cos³ cosec cosine cotangent Crown 8vo decreases numerically determine distance draw PM perpendicular ELEMENTARY Euclid example expression Fcap feet figure find log find the height formulæ four right angles given angle Given log Hence hypotenuse increases from 180 inverse notation L sin logarithm Mathematical multiple of four negative and decreases number of degrees observe the angle opposite side plane positive angle preceding Article present Chapter quadrant PM regular polygon right-angled triangle sec² secant Second Edition shew sin A sin sin A+ sin sin sin sin² sin³ sine student suppose Tables tangent TREATISE Trigono Trigonometrical Ratios vers yards zero ОР
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