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Accurately calculate radian values for inverse trig functions like arcsin and arccos. Supports 6 function types and custom decimal precision.
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When you know a trigonometric value but not the corresponding angle, an inverse trigonometric function calculator can accurately solve for the radian value. This tool handles the inverse operations of six types of inverse trigonometric functions, such as arcsine (asin) and arccosine (acos). Based on the inputted trigonometric value (e.g., a sine value of 0.5), it outputs the corresponding radian angle (e.g., π/6). Inverse trigonometric functions are defined as the inverse mappings of trigonometric functions, mathematically used to solve for angles when ratios are known.
What input values does the inverse trigonometric calculator support?
asin/acos require [-1, 1]; asec/acsc require ≤-1 or ≥1; atan/acot have no restrictions.
Why do the output ranges differ between functions?
They are constrained by principal value ranges: asin outputs [-π/2, π/2], and acos outputs [0, π]. This is a mathematical requirement to ensure the uniqueness of the result based on the function's monotonicity.
Input values must fall within the function's domain (e.g., you cannot enter 1.2 for asin), and the result unit is in radians. Batch calculations require manual repetition. For sensitive data, local usage is recommended.
In the field of signal processing, inverse trigonometric functions are commonly used for phase angle reconstruction. A typical example: when cosθ = 0.866 is known, acos(0.866) ≈ 0.5236 radians (or 30°). Combined with radian-to-degree conversion, phase information can be quickly obtained. It is recommended to verify boundary values first: asin(1) = π/2 ≈ 1.5708.
