Evaluate 'sin x' as sum of series
The formula for the 'sin x' is represented as
sin x= x-x3/3!+x5/5!-x7/7!+x9/9!- .................. (where x is in radians)
Algorithm:
Step 1: Take value of x in radians.
Step 2: Take the value of n where n is a number upto which we want to print the sum of series).
Step 3: For first term
sum=x:
p=1 (variable p is used for denominator)
num=x (variable num is used for numerator)
power=1
Step 4: For next term,
num=num* (-x2);
power=power+2;
p=p*(power-1)*power
next=num/p;
Step 5: then sum=sum+next.
Step 6: Repeat the step 4 and step 5, looping 'n-1' times to get the sum of first 'n' terms of the series.
Step 7: Print the value of sum.
Step 8: Stop.