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Graphing relations (Tomato Subjective 127)

Problem: Find all (x, y) such that sin x + sin y = sin (x+y) and |x| + |y| = 1

Discussion: 

|x| + |y| =1 is easier to plot. We have to treat the cases separately.

  • First quadrant: x +y = 1
  • Second quadrant: -x + y = 1 (since |x| = -x when x is negative)
  • Third Quadrant: -x-y =1
  • Fourth Quadrant: x – y =1

Screen Shot 2015-11-19 at 8.45.54 PM

Now we work on sin x + sin y = sin (x + y).

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November 20, 2015

1 comment

  1. this is great… easy to understand & the solutions given in details….

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