tan⁻¹

[US]/ˌtæn ɪnˈvɜːs ˈtrʌɪˌʤənt/
[UK]/ˌtæn ɪnˈvɜːrs ˈtraɪˌʤənt/

Translation

n.inverse tangent function; arctangent; the inverse of the tangent function that returns the angle whose tangent is a given number; angle whose tangent is equal to a given number

Example Sentences

the tan⁻¹ function returns the angle whose tangent equals the given number.

to calculate the slope, we need to find the tan⁻¹ of the vertical change divided by horizontal change.

the tan⁻¹ value ranges from negative pi over two to positive pi over two radians.

engineers frequently use the tan⁻¹ formula to determine inclination angles in construction projects.

in calculus, the derivative of tan⁻¹(x) equals one over one plus x squared.

the tan⁻¹ inverse function maps real numbers to angles within the principal range.

computer programmers frequently implement tan⁻¹ in graphics rendering algorithms for rotation calculations.

the tan⁻¹ of one equals pi over four radians exactly.

scientists apply tan⁻¹ calculations when analyzing vector components and force directions.

understanding the range of tan⁻¹ helps avoid errors in trigonometric computations and simulations.

the tan⁻¹ approximation method works well for small angle values in numerical analysis.

surveyors use tan⁻¹ to convert slope measurements into precise angular data for mapping.

mathematicians study the properties of tan⁻¹ in complex analysis and differential equations.

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