The principal value of tan⁻¹√3 is ……..

The principal value of the inverse tangent function, tan⁻¹, can be determined using the known values of trigonometric functions.

Understanding the Value

For the expression tan⁻¹(√3), we need to find an angle whose tangent is √3. This value corresponds to a specific angle in the unit circle.

Key Angle

• The angle where tangent equals √3 is 60 degrees.
• In radians, this angle is expressed as π/3.

Final Answer

Therefore, the principal value of tan⁻¹(√3) is π/3 or 60 degrees.