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Significance of Sine

The keyphrase "Sine" encompasses various meanings across different philosophical and cultural contexts. In Jainism and Vaishnavism, it often refers to radiance, brilliance, and divine qualities, exemplified by figures like Lord Krishna, Lord Balarama, and Radha. Sine also signifies the act of emitting light, depicting glory and vibrancy, and can metaphorically represent excellence. In the realms of Yoga and Vedanta, it relates to enlightenment and the illuminating essence of the self. Additionally, in the context of Indian history, Sine refers to a mathematical trigonometric function.1
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Synonyms: Sine function, Wave function

In Finnish: Shini; In Dutch: Sinus; In German: Sinus; In Spanish: Seno

The below excerpts are indicatory and do represent direct quotations or translations. It is your responsibility to fact check each reference.

Hindu concept of 'Sine'

Hinduism Books

In Hinduism, "Sine" symbolizes the emission of light and brilliance, representing excellence in divine figures like Radha, Krishna, and Balarama. It conveys spiritual illumination, beauty, and the glory of sacred spaces like Vrindavana, emphasizing radiance in the divine and natural realms.

Significance in Vaishnavism (Vaishava dharma):
Vaishnavism Books

From: Garga Samhita (English)

(1) The radiant quality of the Yamuna as expressed in the text, portraying its brilliance.[1] (2) Describes the glorious and radiant nature of the Lord.[2] (3) Describes the radiant appearance of the described elements associated with Goddess Sarasvati.[3] (4) To emit light or to be distinguished brightly, illustrating the prominence of Rukmini.[4] (5) A term used to describe the manifestation and the radiant presence of the Supreme in the spiritual realm.[5]

From: Brihad Bhagavatamrita (commentary)

(1) Describes how bhakti illuminates or reveals itself.[6]

Vaishnava or vaishnavism (vaishnavism) represents a tradition of Hinduism worshipping Vishnu as the supreme Lord. Similar to the Shaktism and Shaivism traditions, Vaishnavism also developed as an individual movement, famous for its exposition of the dashavatara (‘ten avatars of Vishnu�).

Significance in Vedanta (school of philosophy):
Vedanta Books

From: Chandogya Upanishad (english Translation)

(1) A designation for the luminous aspect of Brahman that is to be worshiped.[7]

From: Brihadaranyaka Upanishad

(1) Refers to the illuminating quality ascribed to Brahman or the Self when regarded as a meditative focus.[8]

Vedanta refers to a school of orthodox Hindu philosophy (astika), drawing its subject-matter from the Upanishads. There are a number of sub-schools of Vedanta, however all of them expound on the basic teaching of the ultimate reality (brahman) and liberation (moksha) of the individual soul (atman).

Significance in Yoga (school of philosophy):
Yoga Books

From: Yoga-sutras (with Vyasa and Vachaspati Mishra)

(1) To emit light or radiance, metaphorically referring to an enlightened state that results from the mastery of one's internal energies.[9]

Yoga is originally considered a branch of Hindu philosophy (astika), but both ancient and modern Yoga combine the physical, mental and spiritual. Yoga teaches various physical techniques also known as asanas (postures), used for various purposes (eg., meditation, contemplation, relaxation).

Jain concept of 'Sine'

Jainism Books

In Jainism, Sine signifies the radiant qualities of a newborn son, symbolizing brilliance and exceptional attributes, reflecting the luminous essence associated with his birth and character.

Significance in Jainism (general):

From: Trishashti Shalaka Purusha Caritra

(1) Describing the radiant nature of the son born, indicating brilliance or exceptional qualities.[10]

Jainism is an Indian religion of Dharma whose doctrine revolves around harmlessness (ahimsa) towards every living being. The two major branches (Digambara and Svetambara) of Jainism stimulate self-control (or, shramana, ‘self-reliance�) and spiritual development through a path of peace for the soul to progess to the ultimate goal.

The concept of Sine in local and regional sources

History Books

The keyphrase "Sine" is discussed as a trigonometric function relating angles to side ratios in right triangles, used in calculations of true declination, and connected to arc measures and sagitta in the text's third chapter.

Significance in India history and geography:

From: History of Science in South Asia

(1) This term, also known as jayb, is a focus of discussion in the text, along with the sagitta, in the context of the third chapter. This indicates the inclusion of trigonometric concepts.[11] (2) This refers to a trigonometric function that relates angles to the ratio of sides in a right-angled triangle.[12] (3) A trigonometric function that is used in the formulas, and the sine of the curve of true declination is used in the calculation of the true declination.[13] (4) The first arc 225 in minutes was regarded as equal to its sine, and by adding them successively we get sin, and it is a trigonometric function.[14]

Plural form: Shines.