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`pi/2``pi/3``pi/4``pi/6`

Answer :

ASolution :

Let it makes angle `alpha` with X-axis. Then <br> `cos^2alpha+cos^2""pi/4+cos^2""pi/4=1` <br> `rArr" "cos^2alpha+1/2+1/2=1` <br> `rArr" "cos^2alpha=0rArralpha=pi/2`