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3. For a point (x,y) in the plane (and not at the origin), the angle 0 of (x,y) with respect to the horizontal is given

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3. For a point (x,y) in the plane (and not at the origin), the angle 0 of (x,y) with respect to the horizontal is given by cos sin 2 These expressions for cos and sin are vulnerable to both overflow and underflow depending on whether x or y is very large, or both x and y are very small (a) Write a function function [costheta,sintheta] - cos and sin(x,y) that will give accurate values of cos and sin even for very large and very small values of x and y. Submit your code. (b) Test it on the four points with x 102 and y- 1 10+200. Report computed values of cos 6 and sin 6: i. For x:= 10-200,y= 10-200 11. Forx- 10+200 ii. Forx- 10-200, y- 10+200 Iv. Forx- 10+200 200 10+200

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