Question

the figure below has a quite smart with a large dot.first rotate the figure 90 degrees clockwise about the origin.then give the coordinates of the marked point in the original figure and the final figure

Answer 1

The point in original figure is:

`(4,1)`

A rotation of 90 degrees clockwise is given by:

`\begin{gathered} x^(\prime)=x\cos (90)+y\sin (90)=y \\ y^(\prime)=-x\sin (90)+y\cos (90)=-x \end{gathered}`

Therefore, the final point is:

`(4,1)\to(y,-x)=(1,-4)`