Líne arcsin (x) áireamhán. Áireamhán sine inbhéartach.
Is í feidhm arcsine feidhm inbhéartach y = sin (x).
arcsin ( y ) = sin -1 ( y ) = x + 2 kπ
Do gach
k = {..., - 2, -1,0,1,2, ...}
Mar shampla, Más é 0.5 an sine 30 °:
sin (30 °) = 0.5
Ansin is é 30 ° an t-arcsín de 0.5:
arcsin (0.5) = sin -1 (0.5) = 30 °
| y | x = arcsin (y) | |
|---|---|---|
| céimeanna | raidianacha | |
| -1 | -90 ° | -π / 2 |
| -0.8660254 | -60 ° | -π / 3 |
| -0.7071068 | -45 ° | -π / 4 |
| -0.5 | -30 ° | -π / 6 |
| 0 | 0 ° | 0 |
| 0.5 | 30 ° | π / 6 |
| 0.7071068 | 45 ° | π / 4 |
| 0.8660254 | 60 ° | π / 3 |
| 1 | 90 ° | π / 2 |
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