*

 * C program to find the value of sin(x) using the series

 * up to the given accuracy (without using user defined function)

 * also print sin(x) using library function.

 */

#include <stdio.h>

#include <math.h>

#include <stdlib.h>

void main()

{

    int n, x1;

    float accuracy, term, denominator, x, sinx, sinval;

    printf("Enter the value of x (in degrees) \n");

    scanf("%f", &x);

    x1 = x;

    /*  Converting degrees to radians */

    x = x * (3.142 / 180.0);

    sinval = sin(x);

    printf("Enter the accuracy for the result \n");

    scanf("%f", &accuracy);

    term = x;

    sinx = term;

    n = 1;

    do

    {

        denominator = 2 * n * (2 * n + 1);

        term = -term * x * x / denominator;

        sinx = sinx + term;

        n = n + 1;

    } while (accuracy <= fabs(sinval - sinx));

    printf("Sum of the sine series = %f \n", sinx);

    printf("Using Library function sin(%d) = %f\n", x1, sin(x));

}

/*

 * C Program to find the quotient and remainder

 */

#include <stdio.h>

int main()

{

    int a,b;

    printf("Enter Dividend: ");

    scanf("%d",&a);

    printf("Enter Divisor: ");

    scanf("%d",&b);

    // Calculates the quotient

    int quotient = a/b;

    // Calculates the remainder

    int remainder = a%b;

    printf("Quotient is : %d\nRemainder is: %d",quotient,remainder);

    return 0;

}

/*

 * C program to find the square root of a number using sqrt function

 */

#include <stdio.h>

int main()

{

    double n;

    printf("Enter number: ");

    scanf("%lf",&n);

    //Calling sqrt function

    double square_root=sqrt(n);

    //Precision upto 2 decimal places

    printf("Number is %0.2lf and its square root is: %0.2lf",n,sqrt(n));

    return 0;

}

*

 * C program to find the simple interest

 */

#include<stdio.h>

int main()

{

    float principal, rate, time;

    // Get user input

    printf("Enter the principal amount: ");

    scanf("%f",&principal);

    printf("Enter the rate of interest: ");

    scanf("%f",&rate);

    printf("Enter the time: ");

    scanf("%f",&time);

    float  simple_interest, amount;

    // Calculate simple interest and amount

    simple_interest = ((principal*rate*time)/100);

    amount = simple_interest + principal;

    // Print the output

    printf("Simple Interest = %f \nAmount = %f",simple_interest, amount);

    return 0;

}

*

 * C program to simulate a simple calculator to perform arithmetic

 * operations like addition, subtraction, multiplication and division

 */

#include <stdio.h>

void main()

{

    char operator;

    float num1, num2, result;

    printf("Simulation of a Simple Calculator\n");

    printf("*********************************\n");

    printf("Enter two numbers \n");

    scanf("%f %f", &num1, &num2);

    printf("Enter the operator [+,-,*,/] \n");

    scanf("%s", &operator);

    if(operator == '+')

        result = num1 + num2;

    else if(operator == '-')

        result = num1 - num2;

    else if(operator == '*')

        result = num1 * num2;

    else if(operator == '/')

        result = num1 / num2;

    else

        printf("Error in operation");

    printf("\n%5.2f %c %5.2f = %5.2f\n", num1, operator, num2, result);

}

*

 * C program to Calculate the Value of nPr

 */

#include <stdio.h>

void main(void)

{

   printf("%d\n", fact(8));

   int n, r;

   printf("Enter value for n and r\n");

   scanf("%d%d", &n, &r);

   int npr = fact(n) / fact(n - r);

   printf("\n Permutation values is = %d", npr);

}

int fact(int x)

{

   if (x <= 1)

       return 1;

   return x * fact(x - 1);

}

/*

 * C program to input real numbers and find the mean, variance

 * and standard deviation

 */

#include <stdio.h>

#include <math.h>

#define MAXSIZE 10

void main()

{

    float x[MAXSIZE];

    int  i, n;

    float average, variance, std_deviation, sum = 0, sum1 = 0;

    printf("Enter the value of N \n");

    scanf("%d", &n);

    printf("Enter %d real numbers \n", n);

    for (i = 0; i < n; i++)

    {

        scanf("%f", &x[i]);

    }

    /*  Compute the sum of all elements */

    for (i = 0; i < n; i++)

    {

        sum = sum + x[i];

    }

    average = sum / (float)n;

    /*  Compute  variance  and standard deviation  */

    for (i = 0; i < n; i++)

    {

        sum1 = sum1 + pow((x[i] - average), 2);

    }

    variance = sum1 / (float)n;

    std_deviation = sqrt(variance);

    printf("Average of all elements = %.2f\n", average);

    printf("variance of all elements = %.2f\n", variance);

    printf("Standard deviation = %.2f\n", std_deviation);

}

/*

 * C program to compute the value of X ^ N given X and N as inputs

 */

#include <stdio.h>

#include <math.h>

long int power(int x, int n);

void main()

{

    long int x, n, xpown;

    printf("Enter the values of X and N \n");

    scanf("%ld %ld", &x, &n);

    xpown = power(x, n);

    printf("X to the power N = %ld\n", xpown);

}

/*  Recursive function to computer the X to power N */

long int power(int x, int n)

{

    if (n == 1)

        return(x);

    else if (n % 2 == 0)

        /*  if n is even */

        return (pow(power(x, n/2), 2));

    else

        /*  if n is odd */

        return (x * power(x, n - 1));

}