Quadrant

In what quadrant is a -1165° angle?

Result

x =  4

Solution:

−1165∘=275∘=90∘⋅3+5∘ 3mod  4=3  x=1+(3mod  4)=4-1165 ^\circ = 275 ^\circ = 90 ^\circ \cdot 3 + 5 ^\circ \ \\ 3 \mod 4 = 3 \ \\ \ \\ x = 1+ (3\mod 4) = 4

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