Question
(-4, -2) counterclockwise is???
Answers
GPT 3.5
To rotate the point (-4, -2) counterclockwise, we can use the rotation matrix formula:
[x', y'] = [cos(theta), -sin(theta)] * [x, y]
Since we are rotating counterclockwise, the rotation angle (theta) would be positive. Let's assume theta = 90 degrees (or pi/2 in radians):
[x', y'] = [cos(pi/2), -sin(pi/2)] * [-4, -2]
[x', y'] = [0, -1] * [-4, -2]
[x', y'] = [0*(-4) + -1*(-2), -1*(-4) + 0*(-2)]
[x', y'] = [2, -4]
Therefore, after counterclockwise rotation, the point (-4, -2) would be (-4, -2) --> (2, -4).
[x', y'] = [cos(theta), -sin(theta)] * [x, y]
Since we are rotating counterclockwise, the rotation angle (theta) would be positive. Let's assume theta = 90 degrees (or pi/2 in radians):
[x', y'] = [cos(pi/2), -sin(pi/2)] * [-4, -2]
[x', y'] = [0, -1] * [-4, -2]
[x', y'] = [0*(-4) + -1*(-2), -1*(-4) + 0*(-2)]
[x', y'] = [2, -4]
Therefore, after counterclockwise rotation, the point (-4, -2) would be (-4, -2) --> (2, -4).