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An orthogonal coordinate system is better than a coordinate system with arbitrary angles because it simplifies mathematical calculations and makes it easier to understand and visualize geometric relationships. In an orthogonal coordinate system, the axes are perpendicular to each other, which means that the coordinates of a point can be easily determined by measuring its distance from each axis. This makes it easie r to calculate distances, angles, and areas, and to perform operations such as rotations and translations. In contrast, a coordinate system with arbitrary angles can be more difficult to work with because the angles between the axes are not fixed, which can make it harder to calculate distances and angles accurately. Additionally, an orthogonal coordinate system is more intuitive and easier to understand, which mak es it a better choice for teaching and learning purposes.

INTO JAPANESE

直交座標系は、数学的計算を簡素化し、幾何学的関係を理解し、視覚化するのが容易になるため、任意の角度を持つ座標系よりも優れています。直交座標系では、軸が互いに垂直であるため、点の座標を簡単に検出できます。

BACK INTO ENGLISH

Cartesian coordinate systems are better than coordinate systems with arbitrary angles because they simplify mathematical calculations and make it easier to understand and visualize geometric relationships. In a Cartesian coordinate system, the axes are perpendicular to each other, making it easy to find the coordinates of a point.

INTO JAPANESE

デカルト座標系は、数学的計算を簡素化し、幾何学的関係を理解し、視覚化するのが容易になるため、任意の角度を持つ座標系よりも優れています。デカルト座標系では、軸が互いに直交するため、点の座標を見つけるのが簡単になります。

BACK INTO ENGLISH

Cartesian coordinate systems are superior to coordinate systems with arbitrary angles because they simplify mathematical calculations and make it easier to understand and visualize geometric relationships. In a Cartesian coordinate system, the axes are orthogonal to each other, making it easier to find the coordinates of a point.

INTO JAPANESE

デカルト座標系は、数学的計算を簡素化し、幾何学的関係を理解し、視覚化するのが容易になるため、任意の角度を持つ座標系よりも優れています。デカルト座標系では、軸が互いに直交するため、点の座標を見つけやすくなります。

BACK INTO ENGLISH

Cartesian coordinate systems are superior to coordinate systems with arbitrary angles because they simplify mathematical calculations and make it easier to understand and visualize geometric relationships. In a Cartesian coordinate system, the axes are orthogonal to each other, making it easier to find the coordinates of a point.