Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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ix 페이지
... GONIOMETRIC AND HYPERBOLIC RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of arc - ratio . 40. Definitions of goniometric ratios . 41. Agenda : Properties of goniometric ratios 49 50 51 42. Line equivalents of goniometric ratios . 51 ...
... GONIOMETRIC AND HYPERBOLIC RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of arc - ratio . 40. Definitions of goniometric ratios . 41. Agenda : Properties of goniometric ratios 49 50 51 42. Line equivalents of goniometric ratios . 51 ...
48 페이지
... = - 3 . ( 5 ) . Find the logarithms : of 16 to base 22 , of 125 to base 5 X 52 , of 128 to modulus 1 / ln 8 , of 1/81 to modulus 1 / ln 27 . CHAPTER II . GONIOMETRIC AND HYPERBOLIC RATIOS . IX . 48 LAWS OF ALGEBRAIC OPERATION .
... = - 3 . ( 5 ) . Find the logarithms : of 16 to base 22 , of 125 to base 5 X 52 , of 128 to modulus 1 / ln 8 , of 1/81 to modulus 1 / ln 27 . CHAPTER II . GONIOMETRIC AND HYPERBOLIC RATIOS . IX . 48 LAWS OF ALGEBRAIC OPERATION .
49 페이지
... GONIOMETRIC AND HYPERBOLIC RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of Arc - Ratio . In the accompanying figures N'N is a straight line fixed in position and direction , OP is supposed to have reached its position by turning ...
... GONIOMETRIC AND HYPERBOLIC RATIOS . IX . GONIOMETRIC RATIOS . 39. Definition of Arc - Ratio . In the accompanying figures N'N is a straight line fixed in position and direction , OP is supposed to have reached its position by turning ...
50 페이지
... Goniometric Ratios . LQ in the above figures being drawn perpendicular to NʼN , upwards or downwards according as Q is above or below N'N and correspondingly positive ... Goniometric Ratios . Prove the 50 GONIOMETRIC AND HYPERBOLIC RATIOS .
... Goniometric Ratios . LQ in the above figures being drawn perpendicular to NʼN , upwards or downwards according as Q is above or below N'N and correspondingly positive ... Goniometric Ratios . Prove the 50 GONIOMETRIC AND HYPERBOLIC RATIOS .
51 페이지
... Goniometric Ratios . Prove the following : ( 1 ) . sin o = = 0 , COS O I. ( 2 ) . sin π I , cos = 0 . ( 3 ) . 0 sin + cos 0 : = I. ( 4 ) . sec2 0 ― tan 0 : = I. ( 5 ) . - csc Ꮎ cot 0 = 1 . If n be an integer , prove : ( 6 ) . sin ( 0+ ...
... Goniometric Ratios . Prove the following : ( 1 ) . sin o = = 0 , COS O I. ( 2 ) . sin π I , cos = 0 . ( 3 ) . 0 sin + cos 0 : = I. ( 4 ) . sec2 0 ― tan 0 : = I. ( 5 ) . - csc Ꮎ cot 0 = 1 . If n be an integer , prove : ( 6 ) . sin ( 0+ ...
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addition and subtraction Addition Theorem Agenda amplitude angle AOQ arc-ratio B₁ base called circular sector cis ẞ commutative law complex quantities COROLLARY corresponding cosh COSK csch defined definition denoted distance equal equation equilateral hyperbola expm exponential expressed formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integers intersect inverse law of indices law of involution law of metathesis length logarithmic spiral logarithms logm modulus Multiplication and Division natural logarithms negative factors nth root OJ=j parallel plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radii radius real axis real magnitudes real quantities reciprocal represent respectively sech sector sinh speed of Q straight line tanh tensor tion triangle unit circle z-plane zero