Different Values for Sin(45) and Cos(45) in Python Despite Them Being Equivalent

Question

I'm making a program that calculates distance moved of an object however when I run the program using 45 as an angle (sin45 and cos45 are equivalent) the output is different for vertical height and horizontal height

import math

angle = float(input("Enter Angle of Movement(In Degrees): "))
print("Angle is: ",angle,"°")

horizontal_distance = (abs(overall_distance*math.sin(90-angle)))
print("Horizontal Distance:",horizontal_distance,"m")

vertical_distance = (abs(overall_distance*math.cos(90-angle)))
print("Vertical Distance:",vertical_distance,"m")

Accepted Answer

The input values for sine and cosine are in radians, not degrees.

Answer 2

The input is in radian units, not degree. Here's the documentation - .

Instead, you should replace sin(90-angle) with sin( - angle).

UPDATE: Just saw your post about converting degree to radian. You can use math.radians(degree)

Answer 3

For the second question

import math
x = math.radians(float(input()))
y = math.radians(float(input()))
SIN = math.sin(x)
COS = math.cos(y)
print(x)
print(y)
print(SIN)
print(COS)


45 
45
0.7853981633974483
0.7853981633974483
0.7071067811865476
0.7071067811865476

Different Values for Sin(45) and Cos(45) in Python Despite Them Being Equivalent

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Different Values for Sin(45) and Cos(45) in Python Despite Them Being Equivalent

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David Miller