What Is the new point at the rotating the point(3, -5)clockwise
To rotate a point clockwise about the origin, we can use the formula:
(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)
where (x, y) is the original point, θ is the angle of rotation in radians, and (x', y') is the new point.
In this case, the original point is (3, -5) and we want to rotate it clockwise. Let's say the angle of rotation is θ radians.
Substituting the values into the formula, we get:
(x', y') = (3cosθ - (-5)sinθ, 3sinθ + (-5)cosθ)
Simplifying further, we have:
(x', y') = (3cosθ + 5sinθ, -5cosθ + 3sinθ)
So the new point after rotating (3, -5) clockwise will be (3cosθ + 5sinθ, -5cosθ + 3sinθ), where θ is the angle of rotation in radians.