Question

Question #2607a

Answer 1

New coordinates are `(-4,2)`

Explanation:

`x=2,y=4 , theta = 90^0`

New coordinates `(x',y')` can be found by the fomula

`x'= xcos theta- ysin theta and y'= y cos theta+ x sin theta`

`:.x'= 2*cos 90- 4*sin90 = 2 *0 -4*1 = -4` and

`y'= 4 * cos 90+ 2 * sin 90 = 4 * 0+2 * 1= 2` Therefore

new coordinates are `(x',y') = (-4,2)` [Ans]