What is the new point (3,-5) 180 degrees clockwise?
To find the point (3,-5) 180 degrees clockwise, we can use the formula for a rotation of a point on a 2D plane:
(x', y') = (x * cosθ - y * sinθ, x * sinθ + y * cosθ)
Where (x, y) is the original point, (x', y') is the new point, and θ is the rotation angle.
In this case, the rotation angle is 180 degrees clockwise, which is equivalent to rotating 180 degrees counterclockwise. The cosine and sine values for a 180-degree rotation are -1 and 0, respectively.
Applying the formula, we have:
(x', y') = (3 * -1 - (-5) * 0, 3 * 0 + (-5) * -1)
= (-3 + 0, 0 - (-5))
= (-3, 5)
Therefore, the new point (3,-5) 180 degrees clockwise is (-3, 5).