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# True or False: The least numerical value, either positive or negative of angle $\theta$ is called principal value of the inverse trigonometric function.

$\begin{array}{1 1} True \\ False \end{array}$

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This is the definition of principal value of inverse trignometric function.

edited Mar 10, 2013
Isn't it necessary that the angle belongs to the principal range?
Since the principal value is least numerical value whether positive or negative, the angle will remain in principal range only. i.e.,  the principal range is automatically taken care.