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Let S be the set of all points in the plane that can be expressed in the form                (\cos a + \cos b, \sin a + \sin b)
where  a and  b are real numbers. Find the area of the set S

 Apr 12, 2020
 #1
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You get some nice curves with x = cos(a) + cos(b); y = sin(a) + sin(b).  

 

Presumably, with an infinite number of points the area covered is that of a circle with radius 2.

 

Area = 4pi.

 Apr 12, 2020

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