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如何计算Inverse Trig Functions

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Inverse trigonometric functions (arcsin, arccos, arctan) find the angle given a ratio. arcsin(x) asks "what angle has sine = x?" They are essential for solving triangles when side lengths are known but angles are not.

分步指南

  1. 1arcsin(x): returns angle whose sine is x, range [−90°, 90°]
  2. 2arccos(x): returns angle whose cosine is x, range [0°, 180°]
  3. 3arctan(x): returns angle whose tangent is x, range (−90°, 90°)
  4. 4arctan2(y,x): full-circle angle from coordinates (−180° to 180°)

例题解析

输入
arcsin(0.5)
结果
30°
sin(30°) = 0.5
输入
arctan(1)
结果
45°
tan(45°) = 1
输入
arccos(0)
结果
90°
cos(90°) = 0

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