%%
%Headedr
clc;
disp('Cameron Tucker')
disp('Eng 1181')
%%
%Problem 1
fprintf('\nProblem 1\n')
[r1,r2] = Func1;
fprintf('\nPart a)\n')
fprintf('The first answer is: %f \n',r1)
fprintf('The second answer is: %f \n',r2)
fprintf('\nPart b)\n')
ax = gca;
ax.XTick = 0:pi/4:2*pi;
ax.XTickLabel = {'0','\pi/4','\pi/2','3\pi/4','\pi','5\pi/4','3\pi/2','7\pi/4','2\pi'};
fplot(@(x) sin(x*3)*cos(x),[0 2*pi]);
%%
%Problem 2
fprintf('Problem 2\n\n')
fprintf('Triangle 1\n')
A1 = Func2;
fprintf('The area of triangle 1 is: %0.3f\n',A1)
fprintf('\nTriangle 2\n')
A2 = Func2;
fprintf('The area of triangle 2 is: %0.3f\n',A2)

fprintf('\nTriangle 3\n')
A3 = Func2;
fprintf('The area of triangle 3 is: %0.3f\n',A3)
%%
%Problem 3
fprintf('\nProblem 3\n')
mpg = input('How many miles to the gallon do you get? ');
gallons = input('How many gallons does your tank need? ');
StationA = input('What is the price of gas at station A? ');
StationB = input('What is the price of gas at station B? ');
dist = input('What is the distance between the stations in miles? ');
price = StationA;
costa = Func3(gallons,price);
price = StationB;
gallons = gallons+dist/mpg;
costb = Func3(gallons,price);
savings = costa-costb;
if savings > 0
    fprintf('\nMoney saved by going to station B is $%0.2f\n',savings)
elseif savings == 0
    fprintf('\nThere is no difference in cost if you drive to station B\n')
else
    fprintf('\nMoney lost by going to station B is $%0.2f\n',-savings)
end
%%
%Problem 4



function [ r1,r2 ] = Func1( )
%UNTITLED2 Summary of this function goes here
%   Detailed explanation goes here
t1 = input('Enter first theta: ');
r1= sin(3*t1)*cos(t1);
t2 = input('Enter second theta: ');
r2 = sin(3*t2)*cos(t2);
end



function [ area ] = Func2( a,b,c )
%UNTITLED4 Summary of this function goes here
%   Detailed explanation goes here
a = input('Enter the length of side 1: ');
b = input('Enter the length of side 2: ');
c = input('Enter the length of side 3: ');
s = (a+b+c)/2;
area = sqrt(s*(s-a)*(s-b)*(s-c));
end




function [ total_cost ] = Func3( gallons,price )
%UNTITLED Summary of this function goes here
%   Detailed explanation goes here
total_cost = gallons*price;
end