Question

Point T has coordinates (3, 2). If you rotate T 270 degrees about the origin, (0, 0), what are the coordinates of T?

Answer 1

To rotate a point (x, y) 270 degrees counterclockwise about the origin, we can use rotation formulas: x' = x*cos(270) - y*sin(270) and y' = x*sin(270) + y*cos(270). Applying these formulas to point T (3, 2), the coordinates of T after rotating 270 degrees about the origin are (-2, 3).

Step-by-step explanation:

To rotate a point (x, y) 270 degrees counterclockwise about the origin, we can use the following rotation formulas:

x' = x*cos(270) - y*sin(270)

y' = x*sin(270) + y*cos(270)

Using the coordinates of point T (3, 2):

x' = 3*cos(270) - 2*sin(270) = -2

y' = 3*sin(270) + 2*cos(270) = 3

Therefore, the coordinates of T after rotating 270 degrees about the origin are (-2, 3).