反正弦计算器 — 公式

Inverse Sine (Arcsin)

Definition

arcsin(x) = the angle whose sine is x

If sin(angle) = x, then arcsin(x) = angle.

Domain and Range

  • Domain: -1 ≤ x ≤ 1
  • Range: -90° to 90° (-pi/2 to pi/2 radians)

    • Common Values

  • arcsin(0) = 0°
  • arcsin(0.5) = 30°
  • arcsin(√2/2) = 45°
  • arcsin(1) = 90°

    • 计算示例

    Find arcsin(0.5).

    1. arcsin(0.5) = pi/6 radians
    2. = 30 degrees
    3. Verification: sin(30°) = 0.5