$\"\"$

Consider the power series of sine function.

$\"\"$ .

Consider the value of $\"\"$ values lies in the interval $\"\"$ .

$\"\"$ value is small, then the terms $\"\"$ and so on have values less than or equal to $\"\"$ .

This represents one-tenth of the $\"\"$ percent of the value which is very small and can be neglected.

$\"\"$ .

Therefore for smaller values of $\"\"$ , $\"\"$ .

The close approximation of sine function is $\"\"$ .

$\"\"$

The close approximation of sine function is $\"\"$ .