What are the coordinate points if a (5,6) undergoes a rotation of 270 degrees clockwise?
To rotate a point 270 degrees clockwise, we can use the following formula:
x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)
Given point a (5,6) and rotating 270 degrees clockwise:
x' = 5*cos(270) - 6*sin(270)
x' = 5*0 - 6*(-1)
x' = 6
y' = 5*sin(270) + 6*cos(270)
y' = 5*(-1) + 6*0
y' = -5
Therefore, the new coordinates after a rotation of 270 degrees clockwise are (6,-5).