为什么在使用 asin、acos 和 atan 时出现数学域错误？

Question

import math
def SOH(oppositeSOH, hypotenuseSOH):
    oppDIVhyp = oppositeSOH / hypotenuseSOH
    soh = math.asin(oppDIVhyp)
    print("The angle theta is equivelent to", soh)

def CAH(adjacentCAH, hypotenuseCAH):
    adjDIVhyp = adjacentCAH / hypotenuseCAH
    cah = math.acos(adjDIVhyp)
    print("Angle theta is equivelent to", cah)

def TOA(oppositeTOA, adjacentTOA):
    oppDIVhyp = oppositeTOA / adjacentTOA
    toa = math.atan(oppDIVadj)
    print("Angle theta is equivelent to", toa)

SOHCAHTOA = input("Do you want to calculate angle theta with a: soh, b:     cah, c: toh ")
A = SOHCAHTOA.upper()
if A == 'A':
    oppositeSOH = int(input("Enter the length of the opposite side "))
    hypotenuseSOH = int(input("Enter the length of the hypotenuse "))
    SOH(oppositeSOH, hypotenuseSOH)

if A == 'B':
    adjacentCAH = int(input("Enter the length of the adjacent side "))
    hypotenuseCAH = int(input("Enter the length of the hypotenuse "))
    CAH(adjacentSOH, hypotenuseSOH)

if A == 'C':
    oppositeCAH = int(input("Enter the length of the opposite side "))
    adjacentCAH = int(input("Enter the length of the hypotenuse "))
    TOA(oppositeSOH, adjacentSOH)

当我将 'oppDIVhyp'、'adjDIVhyp' 或 'oppDIVhyp' 放入 math.a[sin、cos 或 tan] 时，我在 return:

Traceback (most recent call last):
    File "C:\Users\Alex\Documents\sohcahtoa.py", line 23, in <module>
      SOH(oppositeSOH, hypotenuseSOH)
    File "C:\Users\Alex\Documents\sohcahtoa.py", line 5, in SOH
      soh = math.asin(oppDIVhyp)
ValueError: math domain error

数学域错误是什么意思？

Answer 1

ValueError: math domain error 是在要求函数使用对计算没有意义的参数计算值时产生的。例如，如果您要求输入负数的对数。在这种情况下，我敢打赌用户输入的值对于直角三角形来说是不可能的。例如，比其他两条边之一短的斜边。

为什么在使用 asin、acos 和 atan 时出现数学域错误？

Why am I getting math domain error when using asin, acos and atan?

python

math

trigonometry