Problem 19

Given information

In this problem we have to use  the information given in exercise 5 which as ;

,   and .

here we use nth degree Taylor approximating polynomial  at a is ;

   where  

BY using the above relation and putting and we find the third degree  approximating polynomial ;

.................................. equation(1)                                 ( see the solution of exercise 5 of section 8.8 )

Step-by-step explanation

To find  , first we change it in radian ;

now putting        in  equation   (1), we have ;