Exercises in Algebra (Including Trigonometry), With Answers
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In our eReader you can find the full English version of the book. Read Exercises in Algebra (Including Trigonometry), With Answers Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Exercises in Algebra (Including Trigonometry), With Answers
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To quickly assess the difficulty of the text, read a short excerpt:
n times AOA,) is the anticlockwise angle AOAg through which 0^^ must be rotated to bring p^ to the position P^. Then as before log SO- = log r(cos nO + i sin 6),> i ; •• = log r + log (cos nd + i sin nff) = log r + log (cos ^ + * sin 6)" — log r + n log (cos ^ + * sin 6).
Pfdogx,) Pjlogx^) p, P2 ^* (log r,) Pig. 84.
(log Hence the logarithms of all points on the line OP4 in fig. 83 must be represented in fig. 84 by points on a line Aj n times as far from OA as Aj is. We conclude, then, that if ...X = r(cos ^ + i sin ff) be any point in fig. 83 its logarithm may be represented by a point U + iV in fig. 84 such that U = log r while V is proportional to 0.
§ 2. Symbolic definition of log x. — This conclusion is ex- pressed symbolically in the form log X = log r(cos 6 -^ iwaO) = log r + ihO 1 This phrase is, of course, an abbreviation for "the logarithms of all values of x which are represented by points on OAi ".
208 ALGEBRA where h is some undetermined constant. It is most impor- tant to understand clearly what this statement means and what it does not mean.
What to read after Exercises in Algebra (Including Trigonometry), With Answers?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Percy Nunn to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
n times AOA,) is the anticlockwise angle AOAg through which 0^^ must be rotated to bring p^ to the position P^. Then as before log SO- = log r(cos nO + i sin 6),> i ; •• = log r + log (cos nd + i sin nff) = log r + log (cos ^ + * sin 6)" — log r + n log (cos ^ + * sin 6).
Pfdogx,) Pjlogx^) p, P2 ^* (log r,) Pig. 84.
(log Hence the logarithms of all points on the line OP4 in fig. 83 must be represented in fig. 84 by points on a line Aj n times as far from OA as Aj is. We conclude, then, that if ...X = r(cos ^ + i sin ff) be any point in fig. 83 its logarithm may be represented by a point U + iV in fig. 84 such that U = log r while V is proportional to 0.
§ 2. Symbolic definition of log x. — This conclusion is ex- pressed symbolically in the form log X = log r(cos 6 -^ iwaO) = log r + ihO 1 This phrase is, of course, an abbreviation for "the logarithms of all values of x which are represented by points on OAi ".
208 ALGEBRA where h is some undetermined constant. It is most impor- tant to understand clearly what this statement means and what it does not mean.
What to read after Exercises in Algebra (Including Trigonometry), With Answers?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Percy Nunn to read onlineMoreLess
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