Given a point on a geometric figure (1, 2) what is the new point when the point is rotated clockwise about the origin 90 degrees
To rotate a point clockwise about the origin by 90 degrees, we can use the following formula:
(x', y') = (x*cosθ - y*sinθ, x*sinθ + y*cosθ)
In this case, the point is (1, 2) and we want to rotate it clockwise by 90 degrees. We can plug these values into the formula:
(x', y') = (1*cos(90) - 2*sin(90), 1*sin(90) + 2*cos(90))
Since cos(90) = 0 and sin(90) = 1, we can simplify the equation further:
(x', y') = (1*0 - 2*1, 1*1 + 2*0)
= (-2, 1)
Therefore, the new point when the point (1, 2) is rotated clockwise about the origin by 90 degrees is (-2, 1).