Python Program for acos() Function

In the previous article, we have discussed Python Program for log() Function
acos() Function in Python:

The math.acos() method returns a number’s arc cosine value. Python acos, also known as Arc cosine, is the inverse of a cosine.

Note: It should be noted that the parameter passed to math.acos() must be between -1 and 1.

Tip: The value of PI will be returned by math.acos(-1).

Syntax:

math.acos(x)

Parameters:

x: This is required. It is a number between -1 and 1. If x is not a number, a TypeError is returned.

Return Value:

Returns a float value which represents a number’s arc cosine.

  • The acos() function returns the Arc Cosine value if the number argument is positive or negative.
  • The acos() function returns TypeError if it is not a number.
  • If it is not between -1 and 1, the acos() function returns ValueError.

Examples:

Example1:

Input:

Given first number = 0.5
Given second number = 1

Output:

The result after applying acos() function on above given first number 0.5  =  1.0471975511965979
The result after applying acos() function on above given second number 1  =  0.0

Example2:

Input:

Given first number = 0.3
Given second number = -0.2

Output:

The result after applying acos() function on above given first number 0.3  =  1.2661036727794992
The result after applying acos() function on above given second number -0.2  =  1.7721542475852274

Program for acos() Function in Python

Method #1: Using Built-in Functions (Static Input)

Approach:

  • Import math module using the import keyword.
  • Give the list as static input and store it in a variable.
  • Give the first number as static input and store it in another variable.
  • Apply math.acos() function to the given first number to get the arc cosine value (inverse of cosine) of a given number.
  • Store it in another variable.
  • Print the above result.
  • Similarly, do the same for the other number.
  • Apply math.acos() function to the given list element and print it.
  • The Exit of Program.

Below is the implementation:

# Import math module using the import keyword.
import math
# Give the list as static input and store it in a variable.
gvn_lst = [0.5, 0.2, 1, 0.8]
# Give the first number as static input and store it in another variable.
gvn_numb1 = 0.5
# Apply math.acos() function to the given first number to get arc cosine value
# (inverse of cosine) of a given number.
# Store it in another variable.
fnl_rslt = math.acos(gvn_numb1)
print("The result after applying acos() function on above given first number",
      gvn_numb1, " = ", fnl_rslt)
# similarly do the same for the other number.
gvn_numb2 = 1
print("The result after applying acos() function on above given second number",
      gvn_numb2, " = ", math.acos(gvn_numb2))
# Apply math.acos() function to the given list element and print it.
print(
    "The result after applying acos() function on given list element gvnlst[1] = ", math.acos(gvn_lst[1]))

Output:

The result after applying acos() function on above given first number 0.5  =  1.0471975511965979
The result after applying acos() function on above given second number 1  =  0.0
The result after applying acos() function on given list element gvnlst[1] =  1.369438406004566

Method #2: Using Built-in Functions (User Input)

Approach:

  • Import math module using the import keyword.
  • Give the list as user input using list(),map(),input(),and split() functions.
  • Store it in a variable.
  • Give the first number as user input using the float(input()) function and store it in a variable.
  • Apply math.acos() function to the given first number to get the arc cosine value (inverse of cosine) of a given number.
  • Store it in another variable.
  • Print the above result.
  • Similarly, do the same for the other number.
  • Apply math.acos() function to the given list element and print it.
  • The Exit of Program.

Below is the implementation:

# Import math module using the import keyword.
import math
# Give the list as user input using list(),map(),input(),and split() functions.
# Store it in a variable.
gvn_lst = list(map(float, input(
    'Enter some random List Elements separated by spaces = ').split()))
# Give the first number as user input using the float(input()) function
# and store it in a variable.
gvn_numb1 = float(input("Enter some random number = "))
# Apply math.acos() function to the given first number to get arc cosine value
# (inverse of cosine) of a given number.
# Store it in another variable.
fnl_rslt = math.acos(gvn_numb1)
print("The result after applying acos() function on above given first number",
      gvn_numb1, " = ", fnl_rslt)
# similarly do the same for the other number.
gvn_numb2 = float(input("Enter some random number = "))
print("The result after applying acos() function on above given second number",
      gvn_numb2, " = ", math.acos(gvn_numb2))
# Apply math.acos() function to the given list element and print it.
print(
    "The result after applying acos() function on given list element gvnlst[2] = ", math.acos(gvn_lst[2]))


Output:

Enter some random List Elements separated by spaces = 1 2 0.3 0.5
Enter some random number = 0.38
The result after applying acos() function on above given first number 0.38 = 1.181000030320636
Enter some random number = 0.6
The result after applying acos() function on above given second number 0.6 = 0.9272952180016123
The result after applying acos() function on given list element gvnlst[2] = 1.2661036727794992

Know all about Mathematical Functions in Python by going through our Python Mathematical Methods Examples well explained step by step.