Proceedings of the Edinburgh Mathematical Society
Proceedings of the Edinburgh Mathematical Society
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In our eReader you can find the full English version of the book. Read Proceedings of the Edinburgh Mathematical Society 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 Proceedings of the Edinburgh Mathematical Society
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Digitized by Google 135 3. Required the development of sin~^x. By similar treatment of the identity sin"' 03 + sin~^y - sin~'(a; Jl -y^ + y J\ -x^) we get sin~*a; = a, / J^^ 3_i^ 5_.x' 35^ 63aj" 2SW^ \ V "^ 2 3 "*■ T^T "^ "FT '^2^~9 "'■2«n"*"~2^13"^"/ a^ l'3x' l-3'bx' \ -^\^ + Y 24 5 ■^24.67 and a, is otherwise found to be 1.
sin~'a; is thus found to be an odd function of x.
4. The development of sini^, cosi^. This is got from the identity sin~^a3 4- sin'^y = sin~'(£c Ji -y^ + y Jl -x^) or u-\-...v = sin~^(sin?>*cosv + cositsinv.
It is shown, first, that sinw is an odd function of u , and cosm an even function of u. The series are then assumed, and the co- efficients evaluated as above.
5. The development of tan~'if. This is got from the identity X -\- ti tan~^ + tan"'// = tan~':j — 1 -xy It is first established that tan~^a; is an odd function of x , and then the series is assumed and the coefficients evaluated in the usual way.
6. The development of tani*. Here we have tanw + tan-y = tan(tfc + 1?) - tanifctanvtan(w + v) .
What to read after Proceedings of the Edinburgh Mathematical Society?
You can find similar books in the "Read Also" column, or choose other free books by Edinburgh Mathematical Society to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Digitized by Google 135 3. Required the development of sin~^x. By similar treatment of the identity sin"' 03 + sin~^y - sin~'(a; Jl -y^ + y J\ -x^) we get sin~*a; = a, / J^^ 3_i^ 5_.x' 35^ 63aj" 2SW^ \ V "^ 2 3 "*■ T^T "^ "FT '^2^~9 "'■2«n"*"~2^13"^"/ a^ l'3x' l-3'bx' \ -^\^ + Y 24 5 ■^24.67 and a, is otherwise found to be 1.
sin~'a; is thus found to be an odd function of x.
4. The development of sini^, cosi^. This is got from the identity sin~^a3 4- sin'^y = sin~'(£c Ji -y^ + y Jl -x^) or u-\-...v = sin~^(sin?>*cosv + cositsinv.
It is shown, first, that sinw is an odd function of u , and cosm an even function of u. The series are then assumed, and the co- efficients evaluated as above.
5. The development of tan~'if. This is got from the identity X -\- ti tan~^ + tan"'// = tan~':j — 1 -xy It is first established that tan~^a; is an odd function of x , and then the series is assumed and the coefficients evaluated in the usual way.
6. The development of tani*. Here we have tanw + tan-y = tan(tfc + 1?) - tanifctanvtan(w + v) .
What to read after Proceedings of the Edinburgh Mathematical Society?
You can find similar books in the "Read Also" column, or choose other free books by Edinburgh Mathematical Society to read onlineMoreLess
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