Question

if a point is A(2,4) in quadrant 1 what would the new point be after being rotated 90° clockwise

Answer 1

To find the new point after rotating A(2,4) 90° clockwise, we can use the following formulas:

x' = x * cos(θ) + y * sin(θ)
y' = -x * sin(θ) + y * cos(θ)

Since we are rotating 90° clockwise, we have θ = -90° or θ = -π/2 radians.

Using these formulas, we can calculate the new coordinates as follows:

x' = 2 * cos(-π/2) + 4 * sin(-π/2) = 2 * 0 + 4 * (-1) = -4
y' = -2 * sin(-π/2) + 4 * cos(-π/2) = -2 * (-1) + 4 * 0 = 2

Therefore, the new point after rotating A(2,4) 90° clockwise would be (-4, 2).