我們給出 x 和 n 的值，其中 x 是 cos 的角度，n 是 cos(x) 階數中的項數。
Cos(x)是一個三角函數，用來計算x角度的值。
$$\cos (x) = \displaystyle\sum\limits_{k=0} ^\infty \frac{(-1 )^{k}}{(2k!)}x^{2k}$$
#Cos( x) = 1 – (x*2 / 2!) (x*4 / 4!) – (x*6 / 6!) (x*8 / 8!)……
Input-: x = 10, n = 3 Output-: 0.984804 Input-: x = 8, n = 2 Output-: 0.990266
在下面程式中使用的方法如下 -
Start
Step 1 Declare and initialize const double PI = 3.142
Step 2 In function double series_sum(double x, int n)
Set x = x * (PI / 180.0)
Set result = 1
Set s = 1, fact = 1, pow = 1
Loop For i = 1 and i < 5 and i++
Set s = s * -1
Set fact = fact * (2 * i - 1) * (2 * i)
Set pow = pow * x * x
Set result = result + s * pow / fact
End Loop
Return result
Step 3 In function int main() s
Declare and set x = 10
Declare and set n = 3
Print series_sum(x, n)
Stop#include <stdio.h>
const double PI = 3.142;
//will return the sum of cos(x)
double series_sum(double x, int n) {
x = x * (PI / 180.0);
double result = 1;
double s = 1, fact = 1, pow = 1;
for (int i = 1; i < 5; i++) {
s = s * -1;
fact = fact * (2 * i - 1) * (2 * i);
pow = pow * x * x;
result = result + s * pow / fact;
}
return result;
}
//main function
int main() {
float x = 10;
int n = 3;
printf("%lf</p><p>", series_sum(x, n));
return 0;
}X=10; n=30.984804 X=13; n=80.974363 X=8; n=2 0.990266
以上是求cos(x)級數的C程序的詳細內容。更多資訊請關注PHP中文網其他相關文章！
