To rotate a point 90° clockwise about the origin, we can use the following rotation formula:
(x', y') = (x*cosθ - y*sinθ, x*sinθ + y*cosθ)
In this case, since we want to rotate 90° clockwise, we can substitute θ with -90° or -π/2 radians.
Using the formula, we can calculate the new coordinates:
(x', y') = (-3*cos(-π/2) - 1*sin(-π/2), -3*sin(-π/2) + 1*cos(-π/2))
But cos(-π/2) = 0 and sin(-π/2) = -1, so we have:
(x', y') = (-3*0 - 1*(-1), -3*(-1) + 1*0)
(x', y') = (0 + 1, 3 + 0)
(x', y') = (1, 3)
Therefore, the coordinates of C' are (1, 3). Therefore, the correct answer is E. (1, 3).
26. The point C (-3,1) is rotated 90° clockwise about the origin. What are the coordinates of C’?
D. (1,-3)
E. (1,3)
F. (3, -1)
1 answer