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Treatise on Plane and Spherical Trigonometry - William Chauvenet

EXEMPLE

(*)

William Chauvenet:
Treatise on Plane and Spherical Trigonometry - Livres de poche

ISBN: 1235493628

[EAN: 9781235493621], Neubuch, [PU: RareBooksClub], WILLIAM CHAUVENET,WORLD, This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book ma… Plus…

[EAN: 9781235493621], Neubuch, [PU: RareBooksClub], WILLIAM CHAUVENET,WORLD, This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: . . . (s i)m x (x-i)-- -1 (x-1)- x W-1)--1 V) we have (v1-i iy-1)(1) 11 y--l (1) mfi- (459) in which 236. To develop the sine and cosine of the multiple angle in a serics of ascending powers of the cosine of the simple angle. When m is an integer, this problem requires us simply to develop sin mx and cos mx in a series of powers of cos x; but when m is a fraction --, the angle mx has q values which have the same sine and cosine, (Art. 222), if we consider x tc represent all the angles which have the same sine and cosine as the simple angle. We shall therefore employ Moivres Formula in its general form (442), or (cos x y--1 sin x)m cos i(2iia-a;) v--1 sin m (2n w--x) Putting k cos x we have by (458) and (446), In these formulae, however, the series do not terminate, but by differentiating (102) we find for 239. Wften Hum integer, the first members of (464) and (465) become cos ma and sin mx; and the coefficients of the second members tontain only multiples of ; therefore we have cos mx H sin mx mH But the series H terminates only when m is even, and the series W only when m it idd, and we must also employ the derivatives of these equations to obtain finite expressions in all cases; thus we have also in which m being a fraction --, n is any n umber of the series, 5, 1, 2, . . . tf--I; Therefore differentiating the series H and S, we shall have, when m 2 m, m 2 m!-4-1, cos mx cosx(l all of which terminate, and give the equations of Arts. 77 and 78. 240. To develop the sine and cosine of the multiple angle in a series of ascending powers of the tangent of the simple angle. We have cos m (2 n ir-f-x)--y--1 sin m (2 n Tt-f-x) (cos x-y--1 sin x)m cosmx (1 y--1 tanx). . . This item ships from La Vergne,TN.<

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(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.

Treatise on Plane and Spherical Trigonometry - William Chauvenet

EXEMPLE

(*)

William Chauvenet:
Treatise on Plane and Spherical Trigonometry - Livres de poche

ISBN: 9781235493621

RareBooksClub. Paperback. New. This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purc… Plus…

RareBooksClub. Paperback. New. This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: . . . (s i)m x (x-i)-- -1 (x-1)- x W-1)--1 V) we have (v1-i iy-1)(1) 11 y--l (1) mfi- (459) in which 236. To develop the sine and cosine of the multiple angle in a serics of ascending powers of the cosine of the simple angle. When m is an integer, this problem requires us simply to develop sin mx and cos mx in a series of powers of cos x; but when m is a fraction --, the angle mx has q values which have the same sine and cosine, (Art. 222), if we consider x tc represent all the angles which have the same sine and cosine as the simple angle. We shall therefore employ Moivres Formula in its general form (442), or (cos x y--1 sin x)m cos i(2iia-a;) v--1 sin m (2n w--x) Putting k cos x we have by (458) and (446), In these formulae, however, the series do not terminate, but by differentiating (102) we find for 239. Wften Hum integer, the first members of (464) and (465) become cos ma and sin mx; and the coefficients of the second members tontain only multiples of ; therefore we have cos mx H sin mx mH But the series H terminates only when m is even, and the series W only when m it idd, and we must also employ the derivatives of these equations to obtain finite expressions in all cases; thus we have also in which m being a fraction --, n is any n umber of the series, 5, 1, 2, . . . tf--I; Therefore differentiating the series H and S, we shall have, when m 2 m, m 2 m!-4-1, cos mx cosx(l all of which terminate, and give the equations of Arts. 77 and 78. 240. To develop the sine and cosine of the multiple angle in a series of ascending powers of the tangent of the simple angle. We have cos m (2 n ir-f-x)--y--1 sin m (2 n Tt-f-x) (cos x-y--1 sin x)m cosmx (1 y--1 tanx). . . This item ships from La Vergne,TN., RareBooksClub<

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Treatise on Plane and Spherical Trigonometry - Chauvenet, William

EXEMPLE

(*)

Chauvenet, William:
Treatise on Plane and Spherical Trigonometry - Livres de poche

2012, ISBN: 9781235493621

Paperback, Fine, Used-Like New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK., [PU: Rarebooks… Plus…

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Treatise on plane and spherical trigonometry - Chauvenet, William

EXEMPLE

(*)

Chauvenet, William:
Treatise on plane and spherical trigonometry - Livres de poche

2012, ISBN: 9781235493621

RareBooksClub.com, 2012-05-14. Paperback. New. Buy with confidence. Excellent Customer Service & Return policy., RareBooksClub.com, 2012-05-14

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Treatise on Plane and Spherical Trigonometry - William Chauvenet

EXEMPLE

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William Chauvenet:
Treatise on Plane and Spherical Trigonometry - livre d'occasion

ISBN: 9781235493621

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William Chauvenet:

Treatise on Plane and Spherical Trigonometry - Livres de poche

ISBN: 1235493628

[EAN: 9781235493621], Neubuch, [PU: RareBooksClub], WILLIAM CHAUVENET,WORLD, This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book ma… Plus…

[EAN: 9781235493621], Neubuch, [PU: RareBooksClub], WILLIAM CHAUVENET,WORLD, This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: . . . (s i)m x (x-i)-- -1 (x-1)- x W-1)--1 V) we have (v1-i iy-1)(1) 11 y--l (1) mfi- (459) in which 236. To develop the sine and cosine of the multiple angle in a serics of ascending powers of the cosine of the simple angle. When m is an integer, this problem requires us simply to develop sin mx and cos mx in a series of powers of cos x; but when m is a fraction --, the angle mx has q values which have the same sine and cosine, (Art. 222), if we consider x tc represent all the angles which have the same sine and cosine as the simple angle. We shall therefore employ Moivres Formula in its general form (442), or (cos x y--1 sin x)m cos i(2iia-a;) v--1 sin m (2n w--x) Putting k cos x we have by (458) and (446), In these formulae, however, the series do not terminate, but by differentiating (102) we find for 239. Wften Hum integer, the first members of (464) and (465) become cos ma and sin mx; and the coefficients of the second members tontain only multiples of ; therefore we have cos mx H sin mx mH But the series H terminates only when m is even, and the series W only when m it idd, and we must also employ the derivatives of these equations to obtain finite expressions in all cases; thus we have also in which m being a fraction --, n is any n umber of the series, 5, 1, 2, . . . tf--I; Therefore differentiating the series H and S, we shall have, when m 2 m, m 2 m!-4-1, cos mx cosx(l all of which terminate, and give the equations of Arts. 77 and 78. 240. To develop the sine and cosine of the multiple angle in a series of ascending powers of the tangent of the simple angle. We have cos m (2 n ir-f-x)--y--1 sin m (2 n Tt-f-x) (cos x-y--1 sin x)m cosmx (1 y--1 tanx). . . This item ships from La Vergne,TN.<

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William Chauvenet:

Treatise on Plane and Spherical Trigonometry - Livres de poche

ISBN: 9781235493621

RareBooksClub. Paperback. New. This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purc… Plus…

RareBooksClub. Paperback. New. This item is printed on demand. Paperback. 42 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: . . . (s i)m x (x-i)-- -1 (x-1)- x W-1)--1 V) we have (v1-i iy-1)(1) 11 y--l (1) mfi- (459) in which 236. To develop the sine and cosine of the multiple angle in a serics of ascending powers of the cosine of the simple angle. When m is an integer, this problem requires us simply to develop sin mx and cos mx in a series of powers of cos x; but when m is a fraction --, the angle mx has q values which have the same sine and cosine, (Art. 222), if we consider x tc represent all the angles which have the same sine and cosine as the simple angle. We shall therefore employ Moivres Formula in its general form (442), or (cos x y--1 sin x)m cos i(2iia-a;) v--1 sin m (2n w--x) Putting k cos x we have by (458) and (446), In these formulae, however, the series do not terminate, but by differentiating (102) we find for 239. Wften Hum integer, the first members of (464) and (465) become cos ma and sin mx; and the coefficients of the second members tontain only multiples of ; therefore we have cos mx H sin mx mH But the series H terminates only when m is even, and the series W only when m it idd, and we must also employ the derivatives of these equations to obtain finite expressions in all cases; thus we have also in which m being a fraction --, n is any n umber of the series, 5, 1, 2, . . . tf--I; Therefore differentiating the series H and S, we shall have, when m 2 m, m 2 m!-4-1, cos mx cosx(l all of which terminate, and give the equations of Arts. 77 and 78. 240. To develop the sine and cosine of the multiple angle in a series of ascending powers of the tangent of the simple angle. We have cos m (2 n ir-f-x)--y--1 sin m (2 n Tt-f-x) (cos x-y--1 sin x)m cosmx (1 y--1 tanx). . . This item ships from La Vergne,TN., RareBooksClub<

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Chauvenet, William:
Treatise on Plane and Spherical Trigonometry - Livres de poche

2012

ISBN: 9781235493621

Paperback, Fine, Used-Like New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK., [PU: Rarebooks… Plus…

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Chauvenet, William:
Treatise on plane and spherical trigonometry - Livres de poche

2012, ISBN: 9781235493621

RareBooksClub.com, 2012-05-14. Paperback. New. Buy with confidence. Excellent Customer Service & Return policy., RareBooksClub.com, 2012-05-14

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ISBN: 9781235493621

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Détails sur le livre

Auteur:	William Chauvenet
Titre:	Treatise on Plane and Spherical Trigonometry
ISBN:	1235493628

Informations détaillées sur le livre - Treatise on Plane and Spherical Trigonometry

EAN (ISBN-13): 9781235493621
ISBN (ISBN-10): 1235493628
Livre de poche
Date de parution: 2012
Editeur: General Books LLC

Livre dans la base de données depuis 2014-07-30T18:03:10+02:00 (Paris)
Page de détail modifiée en dernier sur 2015-05-01T17:04:35+02:00 (Paris)
ISBN/EAN: 1235493628

ISBN - Autres types d'écriture:
1-235-49362-8, 978-1-235-49362-1
Autres types d'écriture et termes associés:
Auteur du livre: chauvenet
Titre du livre: treatise plane and spherical trigonometry

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Dernier livre similaire:
9780265752180 Treatise on Plane and Spherical Trigonometry (Classic Reprint) (Chauvenet, William)

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