For A,
cos30∘x=sin30∘y=2
⇒x=223=3 and y=1
For C,
cos120∘x=sin120∘y=2
x=−1,y=3
For B,
cos75∘x=sin75∘y=22
x=3−1, y=3+1
Sum of the x-coordinates =0+3+3−1+(−1)
=23−2
A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30∘ with the positive direction of the x-axis , then the sum of the x-coordinates of the vertices of the square is:
Held on 9 Apr 2017 · Verified 6 Jul 2026.
23−2
3−2
23−1
3−1
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