MediumCalculusca-255

Curl of a Trigonometric Field

Problem

For the planar field F(x, y) = [sin(a*x + b*y), cos(c*x - d*y)], the scalar curl is dQ/dx - dP/dy = -c*sin(c*x - d*y) - b*cos(a*x + b*y).

Given a, b, c, d and the point (x, y), return the curl value. Angles are in radians.

Hint

Only the cross partial derivatives contribute; each differentiates the inner linear form.

case 1

in: [1,0,1,0,0,0]

expected: 0

case 2

in: [1,0,1,0,1.5707963267948966,0]

expected: -1

case 3

in: [0,1,1,0,0,0]

expected: -1

case 4

in: [1,1,2,1,0.5,-0.5]

expected: -2.994989973208109

Starter codePython

def curl_trig_2d(a, b, c, d, x, y):
    # Your code here
    pass

4 test cases · run your code against them in the editor