Math.Atan2(Double, Double) 메서드

정의

탄젠트를 적용했을 때 지정된 두 숫자의 몫이 나오는 각도를 반환합니다.Returns the angle whose tangent is the quotient of two specified numbers.

public:
 static double Atan2(double y, double x);
public static double Atan2 (double y, double x);
static member Atan2 : double * double -> double
Public Shared Function Atan2 (y As Double, x As Double) As Double

매개 변수

y
Double

점의 y 좌표입니다.The y coordinate of a point.

x
Double

점의 x 좌표입니다.The x coordinate of a point.

반환

Double

-π ≤θ ≤π 범위의 각도 θ(라디안) 및 tan(θ) = y / x입니다(여기서 x, y는 데카르트 평면 상의 지점임).An angle, θ, measured in radians, such that -π ≤ θ ≤ π, and tan(θ) = y / x, where (x, y) is a point in the Cartesian plane. 다음 사항이 적용됩니다.Observe the following: - (x, y)가 1사분면 안에 있으면 0 < θ < π/2입니다.- For (x, y) in quadrant 1, 0 < θ < π/2.

- (x, y)가 2사분면 안에 있으면 π/2 < θ ≤ π입니다.- For (x, y) in quadrant 2, π/2 < θ ≤ π.

- (x, y)가 3사분면 안에 있으면 -π < θ < -π/2입니다.- For (x, y) in quadrant 3, -π < θ < -π/2.

- (x, y)가 4사분면 안에 있으면 -π/2 < θ < 0입니다.- For (x, y) in quadrant 4, -π/2 < θ < 0.

점이 사분면의 경계에 있는 경우 반환 값은 다음과 같습니다.For points on the boundaries of the quadrants, the return value is the following: - y가 0이고 x가 음수가 아니면 θ = 0입니다.- If y is 0 and x is not negative, θ = 0.

- y가 0이고 x가 음수이면 θ = π입니다.- If y is 0 and x is negative, θ = π.

- y가 양수이고 x가 0이면 θ = π/2입니다.- If y is positive and x is 0, θ = π/2.

- y가 음수이고 x가 0이면 θ = -π/2입니다.- If y is negative and x is 0, θ = -π/2.

- y가 0이고 x가 0이면 θ = 0입니다.- If y is 0 and x is 0, θ = 0.

x 또는 yNaN이거나, xyPositiveInfinity 또는 NegativeInfinity이면 이 메서드는 NaN을 반환합니다.If x or y is NaN, or if x and y are either PositiveInfinity or NegativeInfinity, the method returns NaN.

예제

다음 예제에서는 각도와 벡터의 아크탄젠트를 계산 하는 방법을 보여 줍니다.The following example demonstrates how to calculate the arctangent of an angle and a vector. 결과 값이 콘솔에 표시 됩니다.The resulting value is displayed in the console.

// This example demonstrates Math.Atan()
//                           Math.Atan2()
//                           Math.Tan()
using namespace System;
int main()
{
   double x = 1.0;
   double y = 2.0;
   double angle;
   double radians;
   double result;
   
   // Calculate the tangent of 30 degrees.
   angle = 30;
   radians = angle * (Math::PI / 180);
   result = Math::Tan( radians );
   Console::WriteLine( "The tangent of 30 degrees is {0}.", result );
   
   // Calculate the arctangent of the previous tangent.
   radians = Math::Atan( result );
   angle = radians * (180 / Math::PI);
   Console::WriteLine( "The previous tangent is equivalent to {0} degrees.", angle );
   
   // Calculate the arctangent of an angle.
   String^ line1 = "{0}The arctangent of the angle formed by the x-axis and ";
   String^ line2 = "a vector to point ({0},{1}) is {2}, ";
   String^ line3 = "which is equivalent to {0} degrees.";
   radians = Math::Atan2( y, x );
   angle = radians * (180 / Math::PI);
   Console::WriteLine( line1, Environment::NewLine );
   Console::WriteLine( line2, x, y, radians );
   Console::WriteLine( line3, angle );
}

/*
This example produces the following results:

The tangent of 30 degrees is 0.577350269189626.
The previous tangent is equivalent to 30 degrees.

The arctangent of the angle formed by the x-axis and
a vector to point (1,2) is 1.10714871779409,
which is equivalent to 63.434948822922 degrees.
*/
// This example demonstrates Math.Atan()
//                           Math.Atan2()
//                           Math.Tan()
using System;

class Sample
{
    public static void Main()
    {
    double x = 1.0;
    double y = 2.0;
    double angle;
    double radians;
    double result;

// Calculate the tangent of 30 degrees.
    angle = 30;
    radians = angle * (Math.PI/180);
    result = Math.Tan(radians);
    Console.WriteLine("The tangent of 30 degrees is {0}.", result);

// Calculate the arctangent of the previous tangent.
    radians = Math.Atan(result);
    angle = radians * (180/Math.PI);
    Console.WriteLine("The previous tangent is equivalent to {0} degrees.", angle);

// Calculate the arctangent of an angle.
    String line1 = "{0}The arctangent of the angle formed by the x-axis and ";
    String line2 = "a vector to point ({0},{1}) is {2}, ";
    String line3 = "which is equivalent to {0} degrees.";

    radians = Math.Atan2(y, x);
    angle = radians * (180/Math.PI);

    Console.WriteLine(line1, Environment.NewLine);
    Console.WriteLine(line2, x, y, radians);
    Console.WriteLine(line3, angle);
    }
}
/*
This example produces the following results:

The tangent of 30 degrees is 0.577350269189626.
The previous tangent is equivalent to 30 degrees.

The arctangent of the angle formed by the x-axis and
a vector to point (1,2) is 1.10714871779409,
which is equivalent to 63.434948822922 degrees.
*/
' This example demonstrates Math.Atan()
'                           Math.Atan2()
'                           Math.Tan()
Class Sample
   Public Shared Sub Main()
      Dim x As Double = 1.0
      Dim y As Double = 2.0
      Dim angle As Double
      Dim radians As Double
      Dim result As Double
      
      ' Calculate the tangent of 30 degrees.
      angle = 30
      radians = angle *(Math.PI / 180)
      result = Math.Tan(radians)
      Console.WriteLine("The tangent of 30 degrees is {0}.", result)
      
      ' Calculate the arctangent of the previous tangent.
      radians = Math.Atan(result)
      angle = radians *(180 / Math.PI)
      Console.WriteLine("The previous tangent is equivalent to {0} degrees.", angle)
      
      ' Calculate the arctangent of an angle.
      Dim line1 As [String] = "{0}The arctangent of the angle formed by the x-axis and "
      Dim line2 As [String] = "a vector to point ({0},{1}) is {2}, "
      Dim line3 As [String] = "which is equivalent to {0} degrees."
      
      radians = Math.Atan2(y, x)
      angle = radians *(180 / Math.PI)
      
      Console.WriteLine(line1, Environment.NewLine)
      Console.WriteLine(line2, x, y, radians)
      Console.WriteLine(line3, angle)
   End Sub
End Class
'
'This example produces the following results:
'
'The tangent of 30 degrees is 0.577350269189626.
'The previous tangent is equivalent to 30 degrees.
'
'The arctangent of the angle formed by the x-axis and
'a vector to point (1,2) is 1.10714871779409,
'which is equivalent to 63.434948822922 degrees.
'

설명

반환 값은 x 축에 의해 형성 된 데카르트 평면의 각도와 원점 (0, 0)에서 시작 하 여 점 (x, y)에서 종료 되는 벡터입니다.The return value is the angle in the Cartesian plane formed by the x-axis, and a vector starting from the origin, (0,0), and terminating at the point, (x,y).

이 메서드는 기본 C 런타임을 호출 하 고 정확한 결과 또는 올바른 입력 범위는 서로 다른 운영 체제 또는 아키텍처 간에 달라질 수 있습니다.This method calls into the underlying C runtime, and the exact result or valid input range may differ between different operating systems or architectures.

적용 대상