Find the​ point(s) on the ellipse x = 3 cos t​, y = sin t​, 0≤t≤2π closest to the point [(−4) (square root of 2) / (3)], [0]. ​(Hint: Minimize the square of the distance as a function of​ t.)   The​ point(s) on the ellipse closest to the given point​ is(are):  ?? ​(Type ordered pairs. Use a comma to separate answers as​ needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 58E
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Find the​ point(s) on the ellipse x = 3 cos t​, y = sin t​, 0≤t≤2π closest to the point [(−4) (square root of 2) / (3)], [0].
​(Hint: Minimize the square of the distance as a function of​ t.)
 
The​ point(s) on the ellipse closest to the given point​ is(are):  ??
​(Type ordered pairs. Use a comma to separate answers as​ needed.)
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