Jyā (ज्या) & Koṭi-Jyā
Ancient Indian Trigonometry Visualized
Angle (θ)
45°
Radius (R)
100
100
Modern (%)
120
Ptolemy / Greek
150
Romaka Siddhānta
3270
Pauliśa Siddhānta
3438
Āryabhaṭīya / Sūrya S.
Info Overlay
Jyā (Sine)
Koṭi-Jyā (Cosine)
Utkrama-Jyā (Versine)
Cāpa (Arc)
θ
R
R sin θ
R cos θ
R(1 - cos θ)
R =
100
θ =
45
°
sin(θ) =
0.707
cos(θ) =
0.707
Jyā =
70.7
Koṭi =
70.7