the tan⁻¹ function returns the angle whose tangent equals the given number.
反正切函數會返回其正切值等於給定數值的角度。
to calculate the slope, we need to find the tan⁻¹ of the vertical change divided by horizontal change.
要計算斜率，我們需要找出垂直變化除以水平變化後的反正切值。
the tan⁻¹ value ranges from negative pi over two to positive pi over two radians.
反正切值的範圍從負二分之一π到正二分之一π弧度。
engineers frequently use the tan⁻¹ formula to determine inclination angles in construction projects.
工程師經常使用反正切公式來確定建築工程中的傾斜角度。
in calculus, the derivative of tan⁻¹(x) equals one over one plus x squared.
在微積分中，反正切函數tan⁻¹(x)的導數等於1除以(1加x平方)。
the tan⁻¹ inverse function maps real numbers to angles within the principal range.
反正切反函數會將實數映射到主值範圍內的角度。
computer programmers frequently implement tan⁻¹ in graphics rendering algorithms for rotation calculations.
電腦程式設計師經常在圖形渲染演算法中實現反正切函數，用於旋轉計算。
the tan⁻¹ of one equals pi over four radians exactly.
1的反正切值正好等於四分之一π弧度。
scientists apply tan⁻¹ calculations when analyzing vector components and force directions.
科學家在分析向量分量和力的方向時會應用反正切計算。
understanding the range of tan⁻¹ helps avoid errors in trigonometric computations and simulations.
了解反正切值的範圍有助於避免三角函數計算和模擬中的錯誤。
the tan⁻¹ approximation method works well for small angle values in numerical analysis.
反正切近似方法在數值分析中對於小角度值效果良好。
surveyors use tan⁻¹ to convert slope measurements into precise angular data for mapping.
測量人員使用反正切函數將坡度測量值轉換為精確的角度數據，用於地圖製作。
mathematicians study the properties of tan⁻¹ in complex analysis and differential equations.
數學家在複分析和微分方程中研究反正切函數的性質。
the tan⁻¹ function returns the angle whose tangent equals the given number.
反正切函數會返回其正切值等於給定數值的角度。
to calculate the slope, we need to find the tan⁻¹ of the vertical change divided by horizontal change.
要計算斜率，我們需要找出垂直變化除以水平變化後的反正切值。
the tan⁻¹ value ranges from negative pi over two to positive pi over two radians.
反正切值的範圍從負二分之一π到正二分之一π弧度。
engineers frequently use the tan⁻¹ formula to determine inclination angles in construction projects.
工程師經常使用反正切公式來確定建築工程中的傾斜角度。
in calculus, the derivative of tan⁻¹(x) equals one over one plus x squared.
在微積分中，反正切函數tan⁻¹(x)的導數等於1除以(1加x平方)。
the tan⁻¹ inverse function maps real numbers to angles within the principal range.
反正切反函數會將實數映射到主值範圍內的角度。
computer programmers frequently implement tan⁻¹ in graphics rendering algorithms for rotation calculations.
電腦程式設計師經常在圖形渲染演算法中實現反正切函數，用於旋轉計算。
the tan⁻¹ of one equals pi over four radians exactly.
1的反正切值正好等於四分之一π弧度。
scientists apply tan⁻¹ calculations when analyzing vector components and force directions.
科學家在分析向量分量和力的方向時會應用反正切計算。
understanding the range of tan⁻¹ helps avoid errors in trigonometric computations and simulations.
了解反正切值的範圍有助於避免三角函數計算和模擬中的錯誤。
the tan⁻¹ approximation method works well for small angle values in numerical analysis.
反正切近似方法在數值分析中對於小角度值效果良好。
surveyors use tan⁻¹ to convert slope measurements into precise angular data for mapping.
測量人員使用反正切函數將坡度測量值轉換為精確的角度數據，用於地圖製作。
mathematicians study the properties of tan⁻¹ in complex analysis and differential equations.
數學家在複分析和微分方程中研究反正切函數的性質。
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