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+//Example 5.11

+//To find the amplitude phase shift and period of given function

+clear,clc;

+

+x = linspace(-0,2*%pi,200);

+deviation = %pi; //deviation from multiples of x

+y = 3*cos(2*x- deviation) ;//given function

+amplitude = y/ cos(2*x- %pi) ;

+printf('Amplitude = %f\n',amplitude);

+multiple = 2; //multiplicity of angle 

+period_cosx = 2*%pi; //period of sin(x) in radians

+required_period = period_cosx / multiple;

+printf('Required period = %f radians\n',required_period);

+phase_shift = deviation / multiple;

+printf('Phase shift = %f radians',phase_shift);

+

+x = linspace(-0,2*%pi,200);

+y = 3*cos(2*x- %pi) ;

+set(gca(),"grid",[5 5]);

+plot(x,y);

+xlabel("$0\le x\le 2*pi$","fontsize",4,"color","red");

+ylabel("$y(x)=3*cos(2*x- pi)$","fontsize",4,"color","red");

+title("Example 5.11","color","blue","fontsize",9);