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Python - math.tan() method example

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Created by:

eyllanesc

517

math.tan() is a method that takes only one parameter and returns the approximated value of the tangent mathematical function.

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import math
​
print( math.tan( 0                  ) ) #    0 <-    0 degrees
​
print( math.tan( 0.7853981633974483 ) ) #   ~1 <-  ~45 degrees ==  pi / 4
print( math.tan( 1.5707963267948966 ) ) #~+inf <-  ~90 degrees ==  pi / 2
​
print( math.tan(-0.7853981633974483 ) ) #  ~-1 <- ~-45 degrees == -pi / 4
print( math.tan(-1.5707963267948966 ) ) #~-inf <- ~-90 degrees == -pi / 2

Note: 0.9999999999999999, 16331239353195370, -0.9999999999999999 and -16331239353195370 should be equal to 1, +Inf, -1 and -Inf but they are not because of compuptation precision error.

1. Documentation

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Syntax	xxxxxxxxxx 1 math.tan(x)
Parameters	`x` - value in radians.
Result	value calculated as `tan(x)` mathematical function.
Description	`math.tan()` is a method that takes only one argument and returns the approximated value of the tangent mathematical function.

2. Working with radians

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import math
​
x1 = 0.0            # beginning of calculation in radians
x2 = math.pi / 2    # ending of calculation radians
​
dx = math.pi / 9    # calculation step in degrees
​
rad = x1
while rad <= x2:
    y = math.tan(rad)
    print("tan(", rad, " rad ) = ", y)
    rad += dx

Output:

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tan( 0.0  rad ) =  0.0
tan( 0.3490658503988659  rad ) =  0.36397023426620234
tan( 0.6981317007977318  rad ) =  0.8390996311772799
tan( 1.0471975511965976  rad ) =  1.7320508075688767
tan( 1.3962634015954636  rad ) =  5.671281819617707

3. Working with degrees

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import math
​
​
def calculate_tan(deg):
    radians = (math.pi / 180) * deg
​
    return math.tan(radians)
​
​
# Example:
x1 = 0.0   # beginning of calculation in degrees
x2 = 90.0  # ending of calculation degrees
​
dx = 30.0  # calculation step in degrees
​
deg = x1
while deg <= x2:
    y = calculate_tan(deg)
    print("tan(", deg, " deg ) = ", y)
    deg += dx

Output:

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tan(0 deg) = 0
tan(30 deg) = 0.5773502691896257
tan(60 deg) = 1.7320508075688767
tan(90 deg) = 16331239353195370

4. Reversed console plot example

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import math
​
​
def print_line(y1, y2, dy, character):
    line = ""
​
    y = y1
    while y < y2:
        line += " "
        y += dy
​
    print(line, character)
​
​
x1 = -3.14   # begining of sine chart
x2 = 3.14    # end of sine chart
​
y1 = -4.0
y2 = 4.0
​
x_steps = 60
y_steps = 60
​
dx = (x2 - x1) / x_steps  # x axis step
dy = (y2 - y1) / y_steps  # y axis step
​
rad = x1
while rad < x2:
    y = math.tan(rad)
​
    if y <= y1 or y >= y2:
        print(" ")
    else:
        print_line(y1, y, dy, 'x')
​
    rad += dx

Output: