[Edit]

Python - math.atan() method example

1 contributors

2 contributions

0 discussions

0 points

Created by:

Mark-Rotteveel

537

The math.atan function returns number in radians in the range -math.pi/2 to +math.pi/2. The function calculates the inverted tangent function value.

xxxxxxxxxx
 
import math
​
​
def calculate_angle(a, b):
    return math.atan(a / b)
​
​
#   |\
#   | \ h - for this function this information is not necessary
# a |  \
#   |__*\ <- angle
#     b
​
​
# a, b and h build isosceles right triangle
a = 3
b = a
print(calculate_angle(a, b))  # 0.7853981633974483 <-  45 degrees
​
# a, b and h build half of equilateral triangle
a = 3
b = a * math.sqrt(3)
print(calculate_angle(a, b))  # 0.5235987755982987 <- ~30 degrees

1. Documentation

Edit

Syntax	xxxxxxxxxx 1 math.atan(number)
Parameters	`number` - a number value that represents the result of the operation `opposite / adjacent` on the right triangle.
Result	`number` value in radians in the range `-math.pi/2` to `+math.pi/2`. If the value can not be calculated `ValueError` occures.
Description	`atan` is a method that takes only one parameter and returns an approximation of the result of the mathematical function arctangent(x).

2. Working with degrees

Edit

xxxxxxxxxx
 
import math
​
​
def calculate_angle(a, b):
    angle = math.atan(a / b)
​
    return (180 / math.pi) * angle
​
​
#   |\
#   | \ h - for this function this information is not necessary
# a |  \
#   |__*\ <- angle
#     b
​
​
# a, b and h build isosceles right triangle
a = 3
b = a
print(calculate_angle(a, b))  # 0.7853981633974483 <-  45 degrees
​
# a, b and h build half of equilateral triangle
a = 3
b = a * math.sqrt(3)
print(calculate_angle(a, b))  # 0.5235987755982987 <- ~30 degrees