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gamma=2.856;  
angle=45.6*pi/180;  
syms psaiI theta1 x psaiII
for psaiI=45.6*pi/1800:45.6*pi/1800:45.6*pi/180
    m1=1+(gamma+1)^2/(gamma*tan(psaiI));
    theta1=atan(tan(psaiI)/(1+gamma*(1+tan(psaiI)*tan(psaiI))));
    x=solve('tan(theta1)=(m1*m1*sin(x)*cos(x)-cot(x))/(m1*m1*((gamma+1)/2-sin(x)*sin(x))+1))');  %Õâʽ×Ó¼ÆËãʱ¾Í³öÏÖÁË¡®is not a valid expression equation¡¯!!!
    psaiII=x-theta1
end
??? Error using ==> solve at 77
' tan(theta1)=(m1*m1*sin(x)*cos(x)-cot(x))/(m1*m1*((gamma+1)/2-sin(x)*sin(x))+1)) ' is not a valid expression or equation.

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CODE:
gamma=2.856;  
syms psaiI theta1 x psaiII
for psaiI=45.6*pi/1800:45.6*pi/1800:45.6*pi/180
    m1=1+(gamma+1)^2/(gamma*tan(psaiI));
    theta1=atan(tan(psaiI)/(1+gamma*(1+tan(psaiI)*tan(psaiI))));
    temp=solve(tan(theta1)==(m1*m1*sin(x)*cos(x)-cot(x))/(m1*m1*((gamma+1)/2-sin(x)*sin(x))+1), x);  
    psaiII=temp-theta1;
end

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