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Python - math.tan() method example
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math.tan() is a method that takes only one parameter and returns the approximated value of the tangent mathematical function.
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,-0.9999999999999999and-16331239353195370should be equal to1,+Inf,-1and-Infbut they are not because of compuptation precision error.
1. Documentation
| Syntax |
|
| 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
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:
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
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:
tan(0 deg) = 0
tan(30 deg) = 0.5773502691896257
tan(60 deg) = 1.7320508075688767
tan(90 deg) = 16331239353195370
4. Reversed console plot example
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:
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