Question 1171766: y1 =2cos(x)
(i) Constructive interference ( y1 + y2 = 2 y1 )
(ii) destructive interference ( y1 + y2 = 0 )
(iii) creates beats ( y1 + y2 ,k1 ≠ k2 )
One of the waves is given so it is your job to find the second wave that will create the three scenarios. After you should also plot these using Desmos and explain your finding.
When finding the second wave you should assumed a form of the function that is the same ratio as the given one. Then you need to combine the two waves together to yield single trigonometric function (where possible) to investigate the conditions on each of the cases above.
Answer by ikleyn(52867)   (Show Source):
You can put this solution on YOUR website! .
(i) Take y2 = 2cos(x) (the same as y1)
(ii) Take y2 = -2cos(x) (opposite to y1)
(iii) Regarding k1, k2, I do not understand their meaning - and, therefore, can not answer.
In part (iii), you post does not look like as a Math problem.
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