Loops in DSA leading up to calculating sin(x) and cos(x)
Single loops, ( no nesting ) in detail.
Print these series and also print them.
1,2,3,4,,,,10
1,3,5,,,9
0,2,4,6,8,10
1,-1,1,-1,,,,1,-1
1,-2,3,-4,,,9,-10
2,-8,32,-128,512
1,-4,16,-64, 256
0!,−2!,4!,−6!=1−2+24
1!,-3!,5!,−7!=1−6+120−5040
\($$ \sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n \cdot x^{2n+1}}{(2n+1)!} = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots $$\)
\($$
\cos(x) = \sum_{n=0}^{\infty} \frac{(-1)^n \cdot x^{2n}}{(2n)!} = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots
$$
\)
Happy reading and solving 🙂
#include <stdio.h>
int main() {
/**
Question No: 2
1,3,5,,,9
*/
int n=10,i;
for( i=1;i<=n;i+=2)
printf("%d,",i);
return 0;
}
Output
1,3,5,7,9,
#include <stdio.h>
int main() {
/**
Question No: 1
1,2,3,4,,,,10
*/
int n=10,i;
for( i=1;i<=n;i++)
printf("%d,",i);
return 0;
}
Output
1,2,3,4,5,6,7,8,9,10,