Madhava's sine table
Comparison of Madhava's and modern sine values

Madhava's sine table

Section Title: Comparison of Madhava's and modern sine values
Table Section Text: None

Angle A in degrees	Madhava's numbers for specifying sin A	Value of sin A derived from Madhava's table	Modern value of sin A

in Devanagari script using Katapayadi system (as in Madhava's original table)	in ISO 15919 transliteration scheme	in Arabic numerals

(1)	(2)	(3)	(4)	(5)	(6)

03.75	श्रेष्ठो नाम वरिष्ठानां	śreṣṭhō nāma variṣṭhānāṁ	22 05 4220	0.06540314	0.06540313

07.50	हिमाद्रिर्वेदभावनः	himādrirvēdabhāvanaḥ	85 24 8440	0.13052623	0.13052619

11.25	तपनो भानु सूक्तज्ञो	tapanō bhānu sūktajñō	61 04 0760	0.19509032	0.19509032

15.00	मध्यमं विद्धि दोहनं	maddhyamaṁ viddhi dōhanaṁ	51 54 9880	0.25881900	0.25881905

18.75	धिगाज्यो नाशनं कष्टं	dhigājyō nāśanaṁ kaṣṭaṁ	93 10 5011	0.32143947	0.32143947

22.50	छन्नभोगाशयांबिका	channabhōgāśayāṁbikā	70 43 5131	0.38268340	0.38268343

26.25	मृगाहारो नरेशोयं	mr̥gāhārō narēśōyaṁ	53 82 0251	0.44228865	0.44228869

30.00	वीरो रणजयोत्सुकः	vīrō raṇajayōtsukaḥ	42 25 8171	0.49999998	0.50000000

33.75	मूलं विशुद्धं नाळस्य	mūlaṁ viṣuddhaṁ nāḷasya	53 45 9091	0.55557022	0.55557023

37.50	गानेषु विरळा नराः	gāneṣu viraḷā narāḥ	30 64 2902	0.60876139	0.60876143

41.25	अशुद्धिगुप्ता चोरश्रीः	aśuddhiguptā cōraśrīḥ	05 93 6622	0.65934580	0.65934582

45.00	शम्कुकर्णो नगेश्वरः	śaṃkukarṇō nageśvaraḥ	51 15 0342	0.70710681	0.70710678

48.75	तनूजो गर्भजो मित्रं	tanūjō garbhajō mitraṃ	60 83 4852	0.75183985	0.75183981

52.50	श्रीमानत्र सुखी सखे	śrīmānatra sukhī sakhē	25 02 7272	0.79335331	0.79335334

56.25	शशी रात्रौ हिमाहारौ	śaśī rātrou himāhārou	55 22 8582	0.83146960	0.83146961

60.00	वेगज्ञः पथि सिन्धुरः	vēgajñaḥ pathi sindhuraḥ	43 01 7792	0.86602543	0.86602540

63.25	छाया लयो गजो नीलो	chāya layō gajō nīlō	71 31 3803	0.89687275	0.89687274

67.50	निर्मलो नास्ति सल्कुले	nirmalō nāsti salkulē	05 30 6713	0.92387954	0.92387953

71.25	रात्रौ दर्पणमभ्रांगं	rātrou darpaṇamabhrāṁgaṁ	22 81 5523	0.94693016	0.94693013

75.00	नागस्तुंग नखो बली	nāgastuṁga nakhō balī	03 63 0233	0.96592581	0.96592583

78.75	धीरो युवा कथालोलः	dhīrō yuvā kathālōlaḥ	92 14 1733	0.98078527	0.98078528

82.50	पूज्यो नारीजनैर्भगाः	pūjyō nārījanairbhagāḥ	11 02 8043	0.99144487	0.99144486

86.25	कन्यागारे नागवल्ली	kanyāgārē nāgavallī	11 32 0343	0.99785895	0.99785892

90.00	देवो विश्वस्थली भृगुः	devō viśvasthalī bhr̥ guḥ	84 44 7343	0.99999997	1.00000000

Sentence(s)

The modern value of sin 45.00° is 0.70710678.

final_sentence: The modern value of sin 45.00° is 0.70710678.