So I was practicing for an exam, and through my studying I found this problem. I really don't know how to solve it although the answer must not be too complicated since the question that came with this one were fairly simple. I first thought that maybe I could use vectors to solve this problem. I tried using this equation:
I noticed that this wouldn't help since I would then have the following equation
:
. I would have two variables to solve for using only one equation so I couldnt solve it.
I also thought of using geometry thus making a triangle with two sides equal to sqrt(5) thus it would have an angle of 45 degrees and two of 67.5 degress. I could then proceed to use sine rule but this wouldn't work out for me since I am supposed to do the problem with calculator.
Can someone help me?
Translate the center of rotation to the origin, perform the $45^{\circ}$ degree rotation, and then apply the inverse translation.