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A lattice point is a point with integer coordinates. How many lattice points (x,y) with -100 less than or equal to x less than...Asked by John
A lattice point is a point with integer coordinates. How many lattice points (x,y) with -100 less than or equal to x less than or equal to 100 and -100 less than or equal to y less than or equal to 100 are on the graph of the parametric equations x=30-40 cos t and y=-50 + 30 cos t?
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Answered by
Steve
the graph is an ellipse
(x-30)/40 = -cos t
(y+50)/30 = sin t
(x-30)^2/1600 + (y+50)^2/900 = 1
the ellipse has semi-axes 30 and 40
Not sure how many lattice points lie on the curve. At least 8.
(x-30)/40 = -cos t
(y+50)/30 = sin t
(x-30)^2/1600 + (y+50)^2/900 = 1
the ellipse has semi-axes 30 and 40
Not sure how many lattice points lie on the curve. At least 8.
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