Rotate the point (5,8) on a geometric figure 270 degree clockwise. What is the new point

Answer 1

To rotate a point (x,y) 270 degrees clockwise, we can use the following formulas:

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

In this case, the given point is (5,8) and the angle of rotation is 270 degrees clockwise.

We can convert 270 degrees to radians by multiplying by (π/180):
270 degrees * (π/180) = 3π/2 radians

Using the formulas above, we can calculate the new coordinates:

x' = 5*cos(3π/2) - 8*sin(3π/2)
= 5*0 - 8*(-1)
= 0 + 8
= 8

y' = 5*sin(3π/2) + 8*cos(3π/2)
= 5*(-1) + 8*0
= -5 + 0
= -5

Therefore, the new point after rotating (5,8) 270 degrees clockwise is (8,-5).