Having trouble writing conditional statements?

So ive been tasked with finding total distance traveled in x and y based off of an array of azimuths and a second array of displacements.

lets say the azimuths are [0, 90, 0] and the displacements for each azimuth are [10, 10, 20]

The total (absolute value of each individual distance) distance traveled in x and y directions should be [10, 30]. I need to write a general code that can handle any azimuth between 0 and 360 degrees. I have it broken down into 8 different conditions any individual azimuths could fall into. I have 4 of these done but need help on the others.

note: theat symbol phi represents an azimuth given in the first array while d represents the displacement for said azimuth.

So far i think ive coded conditions 1,3,5, and 7 correctly but idk how to do the others. '

my code so far:

azimuths = [0, 90, 0];
lengths = [10, 10, 20];
for n = 1:length(azimuths)
    if azimuths(n) == 0  %condition 1
    y = lengths.*(azimuths==0);
    y1 = sum(y);
    
    if azimuths(n) > 0 && azimuths(n) < 90 %condition2
        ans = find(0 < azimuths < 90);
    end
    if azimuths(n) == 90  %condition3
        x = lengths .* (azimuths == 90);
        x1 = sum(x);
    end
    if azimuths(n) == 180 %condition 5
        y = lengths.*(azimuths == 180);
        y1 = sum(y);
    end
     if azimuths(n) == 270 %condition7
        x = lengths .* (azimuths == 270);
        x1 = sum(x); 
    end
end

[KSSV]

Can you use polar coordinates?

x = r*cos(th) ;
y = r*sin(th) ; 

[That Guy]

unfortunately i dont think so

[Setsuna Yuuki.]

You can use:

%if() 
% ...
%elseif()
% ...
%end

azimuths = [0, 90, 0];
lengths = [10, 10, 20];
for n = 1:length(azimuths)
    if azimuths(n) == 0  %condition 1
        y = lengths.*(azimuths==0);
        y1 = sum(y);
    elseif azimuths(n) > 0 && azimuths(n) < 90 %condition2
        ans = find(0 < azimuths < 90);
    elseif azimuths(n) == 90  %condition3
        x = lengths .* (azimuths == 90);
        x1 = sum(x);
    elseif azimuths(n) == 180 %condition 5
        y = lengths.*(azimuths == 180);
        y1 = sum(y);
    elseif azimuths(n) == 270 %condition7
        x = lengths .* (azimuths == 270);
        x1 = sum(x); 
    end
end

But your conditional statements are correct

Answer 1

[Sulaymon Eshkabilov]

Hi,

Here are the "if" conditions:

 if azimuths(n)> 90 && azimuths(n)<180 %condition 4
        ...
 end
 
 ...
      if  azimuths(n)> 180 && azimuths(n)<270 %condition 6
         ...
      end
      ...
           if  azimuths(n)> 270 && azimuths(n)<360 %condition 8
         ...
     end