如何旋转一个函数并获取Python中的坐标？

Question

https://postimg.org/image/uzdalt4s1/

下面的脚本会给通过正弦函数（图A中的URL图像）去点

类似于图A的坐标，我怎么旋转的函数的坐标？ （图B）

from time import sleep 
import math 

x = 100 
y = 500 
f = 0 

while 1: 
    print('X: '+str(x)) 
    print('Y: '+str(math.sin(f)*100+y)) 
    f += math.pi/50 
    x += 1 
    sleep(0.01) 

Answer 1

这应该工作：

from time import sleep 
import math 

def get_rotated_coordinates(x, y, fi, angle = 'deg'): 
    ''' function rotates coordinates x and y for angle fi, variable 
    angle tells if angle fi is in degrees or radians, default value 
    is 'deg' for degrees, but you can also use 'rad' for radians''' 

    if angle == 'deg': 
     fi = math.radians(fi) 
    elif angle != 'rad': 
     raise ValueError('{} is unsuported type for angle.\nYou can use "deg" for degrees and "rad" for radians.'.format(angle)) 

    k = math.tan(fi) 
    denominator = math.sqrt(k**2 + 1) 
    x1 = x/denominator 
    y1 = k * x1 
    x2 = -(y * k/denominator) + x1 
    y2 = (x1 - x2)/k + y1 

    return x2, y2 

x = 100 
y = 500 
f = 0 
while 1: 
    y = math.sin(f)*100+y 
    x2, y2 = get_rotated_coordinates(x, y, 30) 
    print('X: '+str(x2)) 
    print('Y: '+str(y2)) 
    f += math.pi/50 
    x += 1 
    sleep(0.01)