Question

Write an algorithm for Sine function computation.

Answer 1

$\huge\pink{Algorithm}$

.

.

Answer 2

An algorithm for Sine function computation:

    sine series is:

             sin(x)=(x/1!)-((x^3)/3!)+((x^5)/5!)-...........

• Based on the expression we require fatorial and powers of 1,3,5,7.....
• Also we should compute

                  (x^i)/i!=(x/1)*(x/2)*(x/3)*......

• And continue following loop:

                 fp:=1;

                  j:=0;

                 while j<i do

                    begin

                         j:=j+1;

                      fp:=fp*(x/j);

                    end

• In generalized form of each term is,

              current ith term=  [(x^2)/i(i-1)]* previous term.