ACCEPTED SOLUTION
Accepted Solutions
Looks like homework, doesn't it?
Where are your attempts in MC15?
What have you already tried?
BTW, the condition f(x)>= sine is somewhat strange.
First task should be to make a plot (either by hand or via Mathcad) which shows that you are just looking for the minimum of the part of the curve plotted thick red. Fortunately this minimum (green dot) can be found easily using the zero of the first derivative ...
The name "arctg" is quite outdated and should no longer be used according to the current standard (ISO 80000-2)
In Mathcad this function is called "atan".
Looks like homework, doesn't it?
Where are your attempts in MC15?
What have you already tried?
BTW, the condition f(x)>= sine is somewhat strange.
First task should be to make a plot (either by hand or via Mathcad) which shows that you are just looking for the minimum of the part of the curve plotted thick red. Fortunately this minimum (green dot) can be found easily using the zero of the first derivative ...
The name "arctg" is quite outdated and should no longer be used according to the current standard (ISO 80000-2)
In Mathcad this function is called "atan".
What I meant was that you may rather use the numeric solve methods provided by Mathcad out of the box. These are solve block with "find" and the "root" function.
The root function can be used in two flavors, by providing a guess value or by providing a range. Here an example for the latter (I use a range from pi to 2 pi because the plot showed that the solution is somewhere in this interval).
If you don't want to use Mathcads own numeric iteration methods but rather want to program it yourself, you sure have to look up and study the chapter on programming in the help.
You can't type the program statements in separate regions but rather you have to enter them in the so called "programming operator" as described in more detail in the help
Furthermore there is only a limited set of programming operators
Mathcads does not know an "else" (it uses "otherwise" instead) and there also is no "endwhile".
You can simply type in the programming operators but rather must pick them from the programming toolbar (Menu: View-Toolbars-Programming) or use the appropriate keyboard shortcut.
Its well worth studying this help section and also to follow the link to "Tutorial - Programming" at the end of that section.
Here is what your program could look like (I used a much smaller value for eps to enhance accuracy):
As you see its not necessary to zip or rar the Mathcad worksheet - you can attach them directly.
@TT_11056782 wrote:
I mean the whole question since it's subjected to this
I already edited my answer above.
After making the plot and seeing that this constrained is fulfilled anyway by the minimum we get when we set the first derivative to zero, its not further considered.
To be on the safe side you can, after finding the x.min value, make a check to see if this constrained is fulfilled.
