Arcsin Calculator - Inverse Sine

Your details

Direct mode: type the sine ratio. Triangle mode: type the two side lengths.
A number between -1 and 1 (the ratio opposite / hypotenuse).
Angle in degreesPositive angle
30°

arcsin(x) expressed in degrees

Angle in radians0.523599rad
cos(θ)0.866025
tan(θ)0.57735
Complementary angle60°
0.523599 rad80.9% below · arcsin(x) in radians

arcsin(0.5) = 30°

  • The angle whose sine is 0.5 is 30° (π/6).
  • For this angle, cos(θ) = √(1 - 0.5²) ≈ 0.866.
  • tan(θ) = x / √(1 - x²) ≈ 0.5774.
  • The complementary angle (arccos(x)) is 60°, since arcsin(x) + arccos(x) = 90° for all x in [-1, 1].

Next stepTo verify: take sin(30°) and you should get back 0.5.

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