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Sine of Squared (Posted on 2018-11-15) Difficulty: 3 of 5
The smallest positive solution to sin x = sin x2 is x = 1.

What is the second smallest positive solution?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 5.0000 (1 votes)

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re: computer solution | Comment 3 of 5 |
(In reply to computer solution by Charlie)

In degree mode the graph of the difference between left side and right side is different in form as the square term means you can't just convert the answer in radians to degrees.


A portion of the output using degrees is:

...
12.925721582095   -1.16218146217761E-12
12.925721582096   -7.05407954271209E-13
12.925721582097   -2.48190357154954E-13
12.925721582098    2.08111305965986E-13
12.925721582099    6.64884813872391E-13
...

and the answer is between 12.925721582097 and 12.925721582098 degrees.

 pi = Atn(1) * 4
 dr = pi / 180

...

 For x = 12.925721582 To 12.9257215821 Step 0.000000000001
   y = sind(x) - sind(x * x)
   Text1.Text = Text1.Text & x & "   " & Str(y) & crlf
   DoEvents
 Next
 
. . .

Function sind(x)
  sind = Sin(x * dr)
End Function


  Posted by Charlie on 2018-11-15 11:35:32
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