sinhn.

Brit.

/ʃʌɪn/,

/sɪn(t)ʃ/,

/ˌsʌɪnˈeɪtʃ/,

/sʌɪnˈeɪtʃ/, U.S.

/ˈsaɪn/,

/ˌsaɪnˈeɪtʃ/

Etymology: < sin, abbreviation of sine n.² + h, abbreviation of hyperbolic adj.

Mathematics.

= hyperbolic sine at hyperbolic adj. 2b.

ΘΚΠ

the world > relative properties > number > geometry > [noun] > branches of > trigonometry > functions of > hyperbolic

cosh1873

sinh1873

tanh1879

1873 Messenger of Math. II. 190 Sinh x and cosh x are of course the hyperbolic sine and cosine of x, viz. ¹/ ₂(e^x − e^−x) and ¹/ ₂(e^x + e^−x).

1880 Encycl. Brit. XIII. 50/2 The hyperbolic cosine and hyperbolic sine of v..are usually written cosh v, sinh v.

1891 E. W. Hobson Treat. Plane Trigonom. xvi. 303 We have, at once from the definitions, the following relations between the hyperbolic functions: cosh²u− sinh²u = 1, [etc.].

1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxiii. 164 Sinh and cosh both have domain R; the image of sinh is R.

This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2022).

单词	sinh
释义	sinhn. Brit. /ʃʌɪn/, /sɪn(t)ʃ/, /ˌsʌɪnˈeɪtʃ/, /sʌɪnˈeɪtʃ/, U.S. /ˈsaɪn/, /ˌsaɪnˈeɪtʃ/ Etymology: < sin, abbreviation of sine n.² + h, abbreviation of hyperbolic adj. Mathematics. = hyperbolic sine at hyperbolic adj. 2b. ΘΚΠ the world > relative properties > number > geometry > [noun] > branches of > trigonometry > functions of > hyperbolic cosh1873 sinh1873 tanh1879 1873 Messenger of Math. II. 190 Sinh x and cosh x are of course the hyperbolic sine and cosine of x, viz. ¹/ ₂(e^x − e^−x) and ¹/ ₂(e^x + e^−x). 1880 Encycl. Brit. XIII. 50/2 The hyperbolic cosine and hyperbolic sine of v..are usually written cosh v, sinh v. 1891 E. W. Hobson Treat. Plane Trigonom. xvi. 303 We have, at once from the definitions, the following relations between the hyperbolic functions: cosh²u− sinh²u = 1, [etc.]. 1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxiii. 164 Sinh and cosh both have domain R; the image of sinh is R. This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2022). < n.1873
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