求 Sin(x)值的 C# 程序

原文:https://www . geesforgeks . org/c-sharp-program-to-find-value-of-sinx/

正弦(x)也称为正弦。它是一个角度的三角函数。在直角三角形中，垂线的长度与斜边的长度之比称为角的正弦。

sin θ = perpendicular / hypotenuse

下面给出了一些常见角度的正弦值，

  1. sin 0 = 0
  2. 罪 30 = 1 / 2
  3. 无 45 度= 1 / √2
  4. sin 60 ° = √3 / 2
  5. 罪过 90 = 1

本文主要讨论如何用 C# 计算角度的正弦值。

方法 1

我们可以使用内置的 sin() 方法来计算角度的正弦。此方法在数学类下定义，是系统命名空间的一部分。数学课非常有用，因为它提供了常数和一些三角函数、对数函数等静态方法。

语法:

公静双 Sin(双角)；

参数:

  • 角度:双精度值(弧度角度)

返回类型:

  • 双重:如果“角度”是双重的
  • NaN:如果“角度”等于 NaN，否定有限性，或者肯定有限性

例 1:

C

// C# program to illustrate how we can 
// calculate the value of sin(x)
// using Sin() method
using System.IO;
using System;

class GFG{

static void Main()
{

    // Angle in degree 
    double angleInDegree1 = 0;

    // Converting angle in radian
    // since Math.sin() method accepts
    // angle in radian
    double angleInRadian1 = (angleInDegree1 * (Math.PI)) / 180;

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angleInDegree1, Math.Sin(angleInRadian1));

    // Angle in degree 
    double angleInDegree2 = 45;

    // Converting angle in radian
    // since Math.sin() method accepts
    // angle in radian
    double angleInRadian2 = (angleInDegree2 * (Math.PI)) / 180;

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angleInDegree2, Math.Sin(angleInRadian2));

    // Angle in degree 
    double angleInDegree3 = 90;

    // Converting angle in radian
    // since Math.sin() method accepts
    // angle in radian
    double angleInRadian3 = (angleInDegree3 * (Math.PI)) / 180;

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angleInDegree3, Math.Sin(angleInRadian3));

    // Angle in degree 
    double angleInDegree4 = 135;

    // Converting angle in radian
    // since Math.sin() method accepts
    // angle in radian
    double angleInRadian4 = (angleInDegree4 * (Math.PI)) / 180;

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angleInDegree4, Math.Sin(angleInRadian4));
}
}

Output

The value of sin(0) = 0 
The value of sin(45) = 0.707106781186547 
The value of sin(90) = 1 
The value of sin(135) = 0.707106781186548

例 2:

C

// C# program to illustrate how we can 
// calculate the value of sin(x)
// using Sin() method
using System;

class GFG{

static public void Main()
{

    // Angle in radian
    double angle1 = Double.NegativeInfinity;

    // Angle in radian
    double angle2 = Double.PositiveInfinity;

    // Angle in radian
    double angle3 = Double.NaN;

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angle1, Math.Sin(angle1));

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angle2, Math.Sin(angle2));

    // Using Math.Sin() method to calculate value of sine
    Console.WriteLine("The value of sin({0}) = {1} ", 
                      angle3, Math.Sin(angle3));
}
}

输出

Sine of angle1: NaN
Sine of angle2: NaN
Sine of angle3: NaN

方法 2

我们可以用麦克劳林展开法计算一个角度的正弦值。所以辛(x)的麦克劳林级数展开式是:

sin(x) = x - x3 / 3! + x5 / 5! - x7 / 7! + ....

按照下面给出的步骤找到 sin(x)的值:

  1. 初始化存储要计算的角度(以度为单位)的变量角度等级。
  2. 初始化另一个变量项，它存储了我们可以近似 sin(x)值的项数。
  3. 声明一个全局函数 findSinx 。
  4. 声明一个变量当前。以弧度存储角度。
  5. 初始化一个变量用电流回答。它会储存我们的最终答案。
  6. 用电流初始化另一个变量温度。
  7. 从 i = 1 迭代到 i = 术语。在每个步骤中，将 temp 更新为 temp as((-temp) current * current)/((2 * I)(2 * I+1))，并将答案更新为答案+ temp。
  8. 最终，从 findSinX 功能返回答案。
  9. 打印答案。

这个公式可以计算出 x 的所有实数值的正弦值。

示例:

C

// C# program to illustrate how we can 
// calculate the value of sin(x)
// using Maclaurin's method
using System;

class GFG{

static double findSinX(int angleInDegree, int terms)
{

    // Converting angle in degree into radian 
    double current = Math.PI * angleInDegree / 180f;

    // Declaring variable to calculate final answer
    double answer = current;
    double temp = current;

    // Loop till number of steps provided by the user
    for(int i = 1; i <= terms; i++)
    {

        // Updating temp and answer accordingly
        temp = ((-temp) * current * current) / 
                    ((2 * i) * (2 * i + 1));
        answer = answer + temp;
    }

    // Return the final answer
    return answer;
}

// Driver code
static public void Main()
{

    // Angle in degree
    int angleInDegree1 = 45;

    // Number of steps 
    int terms1 = 10;

    // Calling function to calculate sine of angle
    double answer1 = findSinX(angleInDegree1, terms1);

    // Print the final answer
    Console.WriteLine("The value of sin({0}) = {1}", 
                      angleInDegree1, answer1);

    // Angle in degree
    int angleInDegree2 = 90;

    // Number of steps
    int terms2 = 20;

    // Calling function to calculate sine of angle      
    double result2 = findSinX(angleInDegree2, terms2);

    // Print the final answer
    Console.WriteLine("The value of sin({0}) = {1}", 
                      angleInDegree2, result2);

    // Angle in degree
    int angleInDegree3 = 135;

    // Number of steps
    int terms3 = 30;

    // Calling function to calculate sine of angle          
    double result3 = findSinX(angleInDegree3, terms3);

    // Print the final answer
    Console.WriteLine("The value of sin({0}) = {1}", 
                      angleInDegree3, result3);

    // Angle in degree
    int angleInDegree4 = 180;

    // Number of steps
    int terms4 = 40;

    // Calling function to calculate sine of angle
    double result4 = findSinX(angleInDegree4, terms4);

    // Print the final answer
    Console.WriteLine("The value of sin({0}) = {1}", 
                      angleInDegree4, result4);
}
}

Output

The value of sin(45) = 0.707106781186547
The value of sin(90) = 1
The value of sin(135) = 0.707106781186548
The value of sin(180) = 2.34898825287367E-16

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