Overlap filled area plots

Question

I have a series of plots that are filled with fill between. After I produce the plots, I draw a line which goes from the center of the area to an external point. I would like the line to disappear under a certain area. Until now I was able to produce just this

based on the following instructions
documentclass[10pt]{article}

usepackage{amsmath,bm}
usepackage{amssymb}
usepackage{pgfplots}
usepackage{tikz}
usepackage{tikzscale}
usepgfplotslibrary{fillbetween}

begin{document}

begin{tikzpicture}
begin{axis}[domain=0:pi/2,
             xmin=-1.5, xmax=2]

addplot[forget plot,
        name path=A, 
        thick,
        color=blue,
        ]  {sin(deg(x))};

addplot[forget plot,
        name path=B, 
        thick,
        color=green,
        ]  {2*sin(deg(x))};
        
addplot[forget plot,
        name path=C, 
        thick,
        color=red,
        ]  {3*sin(deg(x))};                
              
addplot[forget plot, name path=axis,domain=0:pi/2]{0};

addplot[red]   fill between[of=C and axis];
addplot[green] fill between[of=B and axis];
addplot[blue]  fill between[of=A and axis];

addplot [forget plot, mark=none,  black] coordinates { (-0.5,0.5) (1,0.5)};

addplot [forget plot, mark=none,  black] coordinates { (-0.5,1) (1,1)};

addplot [forget plot, mark=none,  black] coordinates { (-0.5,2) (1,2)};
  
node at (axis cs:-0.5,0.5) [anchor=east] {$sin(x)$};      
node at (axis cs:-0.5,1) [anchor=east] {$2*sin(x)$};   
node at (axis cs:-0.5,2) [anchor=east] {$3*sin(x)$};

end{axis}
end{tikzpicture}

end{document}

Zarko · Accepted Answer

If I understood you comment to question correctly, than you after something like this:

documentclass[border=3.141592]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{fillbetween}
pgfplotsset{compat=1.17}

begin{document}
    begin{tikzpicture}
begin{axis}[domain=0:pi/2,
             xmin=-1.5, xmax=2,
             domain=0:pi/2,
             trig format=rad,
             ]
addplot[name path=A, thick]     {sin(x)};
addplot[name path=B, draw=none]   {2*sin(x)};
addplot[name path=C, draw=none]    {3*sin(x)};

addplot[name path=axis]            {0};

addplot[red, semitransparent]   fill between[of=C and axis];
addplot[green, semitransparent] fill between[of=B and axis];
addplot[blue, semitransparent]  fill between[of=A and axis];

draw   (1,0.50) -- (-0.5,0.50) node[left] {$sin(x)$} 
        (1,1.25) -- (-0.5,1.25) node[left] {$2*sin(x)$} 
        (1,2.00) -- (-0.5,2.00) node[left] {$3*sin(x)$};
end{axis}
    end{tikzpicture}
end{document}

For fill color is used semitransparent option that curve of function sin(x) is better visible. In diagram code I also took liberty for make it shorter and simpler.
Addendum (1):
You may liked diagram with tick of function domain in shown in radians:

for this diagram you only need to add to axis option the following code lines:
             xtick={0, pi/6, pi/3, pi/2},
             xticklabels={0,$pi/6$,$pi/3$,$pi/2$},
             xticklabel style = {font=footnotesize},

Addendum (2):
Considering OP comment below this answer, which make problem more clear, the one of possible (general) solution is employ ZikZ library intersections:
documentclass[border=3.141592]{standalone}
usepackage{pgfplots}
usepgfplotslibrary{fillbetween}
usetikzlibrary{intersections}
pgfplotsset{compat=1.17}

begin{document}
    begin{tikzpicture}
begin{axis}[domain=0:pi/2,
             xmin=-1.5, xmax=2,
             xtick={0, pi/6, pi/3, pi/2},
             xticklabels={0,$pi/6$,$pi/3$,$pi/2$},
             xticklabel style = {font=footnotesize},
             domain=0:pi/2,
             trig format=rad,
every axis plot post/.append style={draw=none}             
            ]
addplot[name path=A]   {sin(x)};
addplot[name path=B]   {2*sin(x)};
addplot[name path=C]    {3*sin(x)};

addplot[name path=axis]            {0};

addplot[red, semitransparent]   fill between[of=C and axis];
addplot[green, semitransparent] fill between[of=B and axis];
addplot[blue, semitransparent]  fill between[of=A and axis];

path [name path=A1] (-0.5,0.50) node[left] (a) {$sin(x)$} -- (pi/2,0.50); 
path [name path=B1] (-0.5,1.25) node[left] (b) {$sin(x)$} -- (pi/2,1.25);
path [name path=C1] (-0.5,2.00) node[left] (c) {$sin(x)$} -- (pi/2,2.00);

draw [name intersections={of=A and A1, by=a1}] (a) -- (a1);
draw [name intersections={of=B and B1, by=b1}] (b) -- (b1);
draw [name intersections={of=C and C1, by=c1}] (c) -- (c1);
end{axis}
    end{tikzpicture}
end{document}

Edit:
Corrected are errors in naming of x ticks.

Hafid Boukhoulda · Answer

If I have well understood the request, you need to adjust the x coordinate so that it corresponds to a point on the graph. For this we have to use the inverse functions asin(y),  asin(y/2) and asin(y/3)
documentclass[10pt]{article}

usepackage{amsmath,bm}
usepackage{amssymb}
usepackage{pgfplots}
usepackage{tikz}
usetikzlibrary{math}
usepackage{tikzscale}
usepgfplotslibrary{fillbetween}

begin{document}

begin{tikzpicture}

begin{axis}[domain=0:pi/2,
             xmin=-1.5, xmax=2]

addplot[forget plot,
        name path=A, 
        thick,
        color=blue,
        ]  {sin(deg(x))};

addplot[forget plot,
        name path=B, 
        thick,
        color=green,
        ]  {2*sin(deg(x))};
        
addplot[forget plot,
        name path=C, 
        thick,
        color=red,
        ]  {3*sin(deg(x))};                
              
addplot[forget plot, name path=axis,domain=0:pi/2]{0};

addplot[red]   fill between[of=C and axis];
addplot[green] fill between[of=B and axis];
addplot[blue]  fill between[of=A and axis];

addplot [forget plot, mark=none,  black] 
         coordinates { (-0.5,0.5) (rad(asin(0.5)),0.5)}; % <-----------

addplot [forget plot, mark=none,  black] 
         coordinates { (-0.5,1) (rad(asin(1/2)),1)}; % <-------------

addplot [forget plot, mark=none,  black] 
         coordinates { (-0.5,2) (rad(asin(2/3)),2)};% <-----------------
  
node at(axis cs:-0.5,0.5)[anchor=east] {$sin(x)$};      
node at (axis cs:-0.5,1) [anchor=east]{$2*sin(x)$};   
node at (axis cs:-0.5,2) [anchor=east]{$3*sin(x)$};

end{axis}
end{tikzpicture}

end{document}

Overlap filled area plots

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