how to make a partial difference from multivariable function?

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phi = atan2(sin(psi)*sin(theta),cos(psi)+cos(theta)); %eq.(30)
i want to make a partial difference of phi(psi,theta) once into psi and once into theta. i use the "diff" funtion in form of "diff(phi,psi) and MATLAB gave me an long answer that contains of real and imaginary part. but i want a compeletly real answer.

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