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matlabplotfieldtrigonometrygraphic

MATLAB Trigonometry Find Field

I have this trigonometric equation;

cos(2*pi*50*t)+cos(2*pi*100*t)

I want to graphic of equation and I want to find field for a period. How can I do?

enter image description here

Solution

  • Graph:

    >> f = @(t) cos(2*pi*50*t) + cos(2*pi*100*t);
>> x = linspace(0, 1/50, 100);
>> y = f(x);
>> plot(x,y)

    Area over 1 period:

    >> integral(f, 0, 1/50)

    or just do it manually: 

    ∫ ( cos(2π·50t) + cos(2π·100t) ) dt = 
-1/2π·( 1/50·sin(2π·50t) + 1/100·sin(2π·100t) )

    which, evaluated between 0 and 1/50, equals 0.