Domain and Principal value branch
Domain: The domain of an inverse trigonometric function is the set of all real numbers such that the trigonometric function is defined. For example, the d...
Domain: The domain of an inverse trigonometric function is the set of all real numbers such that the trigonometric function is defined. For example, the d...
Domain:
The domain of an inverse trigonometric function is the set of all real numbers such that the trigonometric function is defined.
For example, the domain of the sine function is the set of all real numbers between -1 and 1.
Principal Value Branch:
The principal value branch of an inverse trigonometric function is the set of all real numbers between 0 and π.
For example, the principal value branch of the sine function is the interval [0, π).
The domain and principal value branch of an inverse trigonometric function correspond to the same interval of the original trigonometric function.
This means that the values of the independent variable that give a real output in the original trigonometric function correspond to the same values of the independent variable that give a real output in the inverse trigonometric function