Given a point on geometric figures (1,2) what is the new point when the point is rotated clockwise about the origin 90 degrees

Answer 1

To rotate a point clockwise about the origin, we use the following rotation formula:

(x', y') = (x * cos(theta) - y * sin(theta), x * sin(theta) + y * cos(theta))

In this case, the given point is (1, 2), and we want to rotate it clockwise by 90 degrees.

θ = 90 degrees = π/2 radians

Substituting the values into the formula:

(x', y') = (1 * cos(π/2) - 2 * sin(π/2), 1 * sin(π/2) + 2 * cos(π/2))

Simplifying:

(x', y') = (1 * 0 - 2 * 1, 1 * 1 + 2 * 0)
= (-2, 1)

Therefore, when the point (1, 2) is rotated clockwise by 90 degrees about the origin, the new point is (-2, 1).

Answer 2

sorry. (1,2) → (2,-1)

Answer 3

To rotate a point clockwise about the origin, we can use the following rotation formula:

(x', y') = (x * cos(theta) + y * sin(theta), -x * sin(theta) + y * cos(theta))

In this case, the given point is (1, 2), and we want to rotate it clockwise by 90 degrees.

θ = 90 degrees = π/2 radians

Substituting the values into the formula:

(x', y') = (1 * cos(π/2) + 2 * sin(π/2), -1 * sin(π/2) + 2 * cos(π/2))

Evaluate the trigonometric functions:

(x', y') = (1 * 0 + 2 * 1, -1 * 1 + 2 * 0)
= (2, -1)

Therefore, when the point (1, 2) is rotated clockwise by 90 degrees about the origin, the new point is (2, -1).