In Section 6.1 we pointed out that one of the advantages

Chapter 7, Problem 65

(choose chapter or problem)

In Section 6.1 we pointed out that one of the advantages in using radian measure is that many formulas then take on particularly simple forms. Another reason for using radian measure is that the trigonometric functions can be closely approximated by very simple polynomial functions. To see examples of this, complete the tables in Exercises 65 68. Round (or, for exact values, simply report) the answers to six decimal places. In Exercises 67 and 68, note that the higher-degree polynomial provides the better approximation. Note: The approximating polynomials in Exercises 65 68 are known as Taylor polynomials, after the English mathematician Brook Taylor (16851731). The theory of Taylor polynomials is developed in calculus.