Inverse trigonometry calculator
Given a ratio, recover the angle. Arcsine and arccosine need an argument between -1 and 1.
Arcsine
30.000 000 00degrees
- Arccosine
- 60.000 000 00 degrees
- Arctangent
- 26.565 051 18 degrees
- Arcsine in radians
- 0.523 598 775 598 299
- Arccosine in radians
- 1.047 197 551 196 6
- Arctangent in radians
- 0.463 647 609 000 806
- Valid for arcsine and arccosine
- 1
Show the working
- Value = 0.5
- Valid for arcsine and arccosine = abs(0.5) <= 1 ? 1 : 0 = 1
- Arcsine in radians = 1 > 0 ? asin(0.5) : 0 = 0.523 599
- Arccosine in radians = 1 > 0 ? acos(0.5) : 0 = 1.0472
- Arctangent in radians = atan(0.5) = 0.463 648
- Arcsine = deg(0.523 599) = 30
- Arccosine = deg(1.0472) = 60
- Arctangent = deg(0.463 648) = 26.5651
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- asin and acos need |x| <= 1; atan accepts anything.