How to Find Principal Value?

Identify the expression and the inverse trigonometric function involved

Determine the principal range of the inverse trigonometric function

Reduce the given angle or value to an equivalent one within the principal range

Use the principal range to select the unique valid value

For trigonometric equations, apply the inverse function and then adjust to the principal value

For complex numbers, use the principal argument range

For logarithms, use the principal branch if required

Check that the final value lies in the accepted principal interval

Write only the value that satisfies the principal range

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