rotations QuickChek rotate point on the line at -46 180 counterclockwise what is the resulting point
To rotate a point counterclockwise around the origin, you can use the following formula:
```
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
```
In this case, the given point is (-46, 180), and we want to rotate counterclockwise. Let's assume the angle of rotation is θ degrees.
For a counterclockwise rotation of θ degrees, the value of θ would be negative. So, we substitute the values into the formulas:
```
x' = -46 * cos(-θ) - 180 * sin(-θ)
y' = -46 * sin(-θ) + 180 * cos(-θ)
```
Now, we need to determine the values of cos(-θ), sin(-θ):
```
cos(-θ) = cos(θ) (cosine is an even function)
sin(-θ) = -sin(θ) (sine is an odd function)
```
Substituting these values, we get:
```
x' = -46 * cos(θ) + 180 * sin(θ)
y' = -46 * sin(θ) - 180 * cos(θ)
```
Since we don't have the value of the angle θ, we cannot determine the specific resulting point.